Welcome to Okay.so, where you can ask questions and receive answers from other members of the community.

group homomorphism

Abstract Algebra Homomorphisms?
ABSTRACT ALGEBRA- Are these groups isomorphic?
Show Homomorphism group (Z/mZ, Z/nZ ) is cyclic group,determine its order?
Let a group G be generated by {a_i| i in I} where I is some indexing set and a_i in G for all i in I?
A question on the splitting of an exact sequence of group homomorphisms?
Suppose that f is a homomorphism from a finite group G onto G' and that G' has an element of order 8.
Group Homomorphism δ: G->G?
Let phi: G--> G' be a group of homomorphism. Show that if |G| is finite then |phi{G}| is finite and is a?
What is the general idea behind a homomorphism and isomorphism? (groups)?
85. Let G be the group {+/-1,+/-i} with multiplication of complex numbers as composition.
How do we show surjectivity for a group homomorphism?
another group theory question?
Math Questions!
Homomorphism Proof Help Please?
Let ɸ: Z18-> Z12 be the homomorphism where ɸ(1)= 10?
Homomorphism of groups.
let G be a group and consider map phi: GxGxG onto G given by (x,y,z) onto xyz.
Let G be a group and let h and k be elements of G. Define phi: Z x Z -->G by phi(m,n)=h^(m) k^(n).
prove or disprove: if phi: G --> H is a homomorphism of groups, and g is an element of Z(G), then?
What can you tell me about this group?
Group Homomorphism Meaning?
about homomorphism and factor groups?
I need Homomorphism help?
Abstract Algebra Question Group Symmetry Question?
Prove that any group with three elements is isomorphic to Z3?
Is there a surjective homomorphism from S_4 to C_2?
What is the general idea behind a homomorphism and isomorphism? (groups)?
Abstract Algebra: Isomorphism and Homomorphism?
Abstract Algebra, help?
Suppose φ: G → H is a group homomorphism. Let K be the kernel of φ, it is a subgroup of G.
how many group homomorphism can we find from V to Q,where V={1,a,b,c} and Q= {1,-1,i,-i,j,-j,k,-k}?
If G is a group and N is a subgroup of G, show that if a elements G has finite order o(a), then Na in G/N has?
let f:G-->H be a group homomorphism...
let f:G-->H be a group homomorphism...
Abstract Algebra. Supbgroups & Homomorphisms of Groups?
Let G be a group and let h and k be elements of G. Define phi: Z x Z -->G by phi(m,n)=h^(m) k^(n).
HELP WITH GROUP THEORY!!!
Abstract Algebra Question Group Symmetry Question?
f :G-->H is a surjective group homomorphism between finite groups show image of Sylow subgroup of G is Sylow
Prove that if f: G to H is a group homomorphism such that...
Homomorphism in addition?
Modern algebra proof question?
15.Show that a simple Abelian group is cyclic of prime order.
group theory question on homomorphisms?
If f:GL2(R) --> R* defined by f(A)=det(A) for all A in GL2(R).
Need to show that the group of additive rationals has no non-trivial finite homomorphic images.
how can we find the number of homomorphisms from a group to another group?
Find all groups with 3 elements up to homomorphisms?
Finding all group homomorphisms?
Image of a homomorphism?
prove for f?
Prove that if a group G contains a subgroup H of finite index, then G contains a normal subgroup of finite index?
Abstract Algebra practice exam?
Prove that f is a group monomorphism?
How do I prove cyclic group and homomorphism?
Find the Kernel for each of the following homomorphisms:?
Group Theory Question - non-abelian simple group A5?
HELP WITH GROUP THEORY!!!
Theorem 8.3 in Gallian's Contemp. Abst Alg says with (s, t) = 1 the group U(st) is isomorphic to the external?
group homomorphism and direct products?
Need help with proofs of groups and subgroups in abstract algebra..
Showing a function is a group homomorphism?
Abstract Algebra: Let f: Z(sub16) --> A(sub4) denote a non-trivial group homomorphism?
Let G be a subgroup of some dihedral group.For each x in G, define?
If G is an abelian group, prove that the function f:G --> G defined by f(x)=x^2 is a homomorphism.
Let G be a Klein Four Group. How many distinct homomorphisms?
Homomorphism in complex numbers?
Homomorphism problem!! PLease help?
Abstract Algebra Image Proof?
Abstract Algebra - Group/Subgroups tough ?
algebra///////////////////////?
What Is a Topoligical Homomorphism?
How do I show the homomorphism from D6 to UT_2(Z_3). Please see explanation below:?
group theory question on homomorphisms?
abstract algebra....help please?
group homomprphism of abstract algebra question?
Need full PROOF - detailed - Abstract Algebra proof?
please help me prove this.... abstract algebra..homomorphisms?
Let alpha and beta be group homomorphisms from G to G' and let H={g in G: alpha(g)=beta(g)}.
find all group homomorphisms from Z_24 to Z_28?
Ideals and Rings Question? for an informative answer?
Can you help with this question about groups and homomorphism?
Let @ be a group homomorphism of G1 onto G2. Prove that if G1 is abelian then so is G2. More below.
Abstract Algebra: Homomorphisms and Direct Products?
group theory question 2 help?
suppose that φ: Z50 →Z15 is a group homomorphism with φ(7) = 6?
Abstract Algebra: Homomorphisms?
Let m,n be two positive relatively prime integers. Consider...
About homomorphism and factor groups?
I need Homomorphism help?
Need help with proofs of groups and subgroups in abstract algebra..
A bijective homomorphism of groups f: G -> G is called an automorphism.
how many group homomorphism can we find from V to Q,where V={1,a,b,c} and Q= {1,-1,i,-i,j,-j,k,-k}?
Let f:G --> H be a group homomorphism which is onto.
Let f : G → H be a surjective group homomorphism...
about homomorphisms.. pls help?
Abstract Algebra practice exam?
15.Show that a simple Abelian group is cyclic of prime order.
what's the procedure for finding all group homomorphisms from Z_n to Z_m?
Abstract Algebra - Group/Subgroups tough ?
Let G be a group and let a be a fixed element of G. Define a function f:G-->G by f(x)=axa^-1 for all x in G.
Proof question about math?
Let G = D4 = <x, y |yx = xy^(-1), x2 = 1,y4 = 1>be the dihedral group on four letters.
Suppose that phi: Z50 --> Z15 is a group homomorphism with phi(7) =6.
Can you show if G1 and G2 groups and [G1] is finite so is [phiG1], and [phiG1] divides [G1]?
Image of a homomorphism?
Proving group isomorphisms?
Suppose that phi: G->H is an isomorphism of groups. Show phi^(-1) is a homomorphism.
Let ɸ: Z18-> Z12 be the homomorphism where ɸ(1)= 10?
please help me prove this.. abstract algebra about homomorphisms..
group homomorphism question?
Let Φ:Z15 --> G be a group homomorphism. Show:?
Describe a group homomorphism from U_5 to S_4 using Cayle's Theorm?
Let G be a group and g_0 i G be fixed. For each of the following maps, determine whether it is a homomorphism.
mathematical proof HELP ME!
Proof question about homomorphism 1?
Find a surjective group homomorphism?
Let S3 be the symmetric group on 3 letters, and A3 be the alternating group.
Abstract Algebra Help Please!!! Clueless :(?
Finding the image and kernel of a homomorphism?
Subset of a group generates a subgroup of a group?
Let H and G be finite groups such that gcd(G,H) =1. Show that the only homomorphism from G to H is the Trivial?
Groups and symmetry: homomorphism/kernel?
need help with a problem?
Find a homomorphism from the quaternion group Q onto Z*8?
Question about isomorphism 4?
Showing a function is a group homomorphism?
Normal Subgroups Help?
Use of The First Isomorphism Theorem?
Can you please find all group homomorphisms from Z_9 to Z_3?
Prove that f is a group monomorphism?
Let G be a group. Fix a ∃ G. Prove...
is it possible to have a nontrivial homomorphism of some finite group into an infinite group?
Homomorphism versus abelian?
HELP! What does it mean a Kernel of f :::(ALGEBRA)?
A homomorphism question?
Homomorphism Proof Help Please?
Suppose φ: G → H is a group homomorphism. Let K be the kernel of φ, it is a subgroup of G.
homomorphism and isomorphism?
85. Let G be the group {+/-1,+/-i} with multiplication of complex numbers as composition.
Finding the image and kernel of a homomorphism?
Show that any group homomorphism x:G->G' where the order of G is prime...
HELP WITH GROUP THEORY!!!
abstract algebra - homomorphism?
Abstract Algebra?
Group Homomorphisms: Abstract Algebra?
let f be a group homomorphism. if |a| is finite, show that |f(a)| divides |a|.
homomorphism and isomorphism?
Finding the image and kernel of a homomorphism?
Order, abelian and homomorphism?
Simple example of group homomorphism?
let tr:M(2,R)→R denote trace map,determine w/proof if trace map is homomorphism, identify kernel.
Homomorphisms....Abstract Algebra....Need Help!!
Abstract Algebra?
Let s be a fixed integer and let phi be the mapping from a group G to itself with phi(g)=g^s for all g ex in G?
Show that the kernel of a group homomorphism must be normal.
If f:GL2(R) --> R* defined by f(A)=det(A) for all A in GL2(R).
Help understanding the Grothendieck group?
Abstract Algebra problem?
Let phi: G--> G' be a group of homomorphism. Show that if |G| is finite then |phi{G}| is finite and is a?
let f be a group homomorphism. if |a| is finite, show that |f(a)| divides |a|.
If G is a group and N is a subgroup of G, show that if a elements G has finite order o(a), then Na in G/N has?
If a in a Group G has finite order and f:G->H is a homomorphism, then the order of f(a) divides the order of a?
Abstract Algebra - homomorphism--cyclic and abelian proof?
What the group homomorphisms from Sn to Z2?
Prove that the map φ : Z → Zn defined by φ(x) = x reduced mod n is a group homomorphism, where the underlying?
A question on the splitting of an exact sequence of group homomorphisms?
ABSTRACT ALGEBRA: Define phi for this homomorphism?
if G is a finite group, then any onto homomorphism from G to G is an isomorphism?
group definitions?
Find all homomorphisms from Z/n to the dihedral group D5 for each n from 1 to 10?
if G and H groups with relatively prime orders, then the only homomorphism from G to H is the trivial one?
Nontrivial Homomorphism help, PLEASE!
Prove that if G is a simple Abelian group, then G is isomorphic to Z_p for some prime p.
Let f : G → H be a surjective group homomorphism...
GROUP THEORY: Question about homomorphism and isomorphism...
abstract algebra group theory help?
Let a group G be generated by {a_i| i in I} where I is some indexing set and a_i in G for all i in I?
Math Questions!
Abstract Algebra - Group/Subgroups tough ?
Hard Group Theory Proofs?
Nontrivial Homomorphism help, PLEASE!
Prove that abs(G) divides abs(H) if f: G->H is an injective homomorphism and H is a finite group?
Abstract Algebra: Let f: Z(sub16) --> A(sub4) denote a non-trivial group homomorphism?
Find a surjective group homomorphism?
Need some MORE help with Abstract Algebra...
constructing non trivial homomorphisms?
another group theory question?
Group Homomorphism and order division?
Applicable Algebra on homomorphism?
Subgroup Homomorphism Question?
Is there a surjective homomorphism from S_4 to C_2?
Applicable Algebra on homomorphism?
Order, abelian and homomorphism?
Let Φ:Z15 --> G be a group homomorphism. Show:?
Let alpha and beta be group homomorphisms from G to G' and let H={g in G: alpha(g)=beta(g)}.
Let G be finite non-abelian group and order of G is odd. Prove that if G contains an element g having exactly?
group theory question?
find all group homomorphisms from Z_24 to Z_28?
Supposed that Φ is a homomorphism from a finite group x onto x̄ and that x̄ has an element of order 8.Prove...
Homomorphisms?
Modern Algebra help! Let F be the additive group of functions mapping R-R with derivatives of all orders. ?
let phi: G--> H be a surjective homomorphism of groups. Show that H is abelian?
Let phi: G to G' be a group homomorphism. Show that if |G| is finite, then |phi[G]| is finite and divides |G|?
Group Homomorphism δ: G->G?
Homomorphism versus abelian?
Proof question about homomorphism 1?
abstract algebra gruop homomorphism question?
what's the procedure for finding all group homomorphisms from Z_n to Z_m?
Finding the image and kernel of a homomorphism?
homomorphism question?
Abstract Algebra - Group/ Subgroups Tough ?
abstract algebra help?
abstract algebra group theory help?
Group theory question!! Surjective homomorphism?
Let G be a Klein Four Group. How many distinct homomorphisms?
Suppose that phi: Z50 --> Z15 is a group homomorphism with phi(7) =6. Determine phi(x)?
Prove that if f: G to H is a group homomorphism such that...
Show that the kernel of a group homomorphism must be normal.
Lie Group homomorphism questions?
Prove that sgn is a homomorphism from G to the multiplicative group {+1, -1}. What is the kernel?
Theorem 8.3 in Gallian's Contemp. Abst Alg says with (s, t) = 1 the group U(st) is isomorphic to the external?
Let G = D4 = <x, y |yx = xy^(-1), x2 = 1,y4 = 1>be the dihedral group on four letters.
group homomprphism of abstract algebra question?
proof question about homomorphism 3?
Provide and justify an example of an injective but not surjective homomorphism between groups.
Find all possible nontrivial homomorphisms between the groups...
Homomorphism?
If a in a Group G has finite order and f:G->H is a homomorphism, then the order of f(a) divides the order of a?
A question on the semi-direct product of groups?
This is a question for people in the field of theoretical mathematics...math majors would be great!!!
Quotient Groups and Homomorphisms?
Suppose that phi: Z50 --> Z15 is a group homomorphism with phi(7) =6.
Group Homomorphism Meaning?
Prove that any group with three elements is isomorphic to Z3?
How to solve abstract algebra about homomorphism?
Show that a E G has a finite order of o(a) ?
About homomorphism and factor groups?
Finding the image and kernel of a homomorphism?
Finite Groups, trivial homomorphism?
Let G denote a finite group of order n, & k a pos intgr. Define Φ(sub k): G-->G by Φ(sub k)(x)=x^k for all x∈G?
Abstract Algebra Help 3?
A question on the nature of the relationship between semi-direct group products and quotient groups...
Homomorphism in addition?
show group G is abelian iff phi:GxG -> G by phi(a,b) = ab is a group homomorphism?
Does there exist a group homomorphism f:D_8 --> GL (2, R)?
Suppose that phi: Z50 --> Z15 is a group homomorphism with phi(7) =6. Determine phi(x)?
Let G denote an arbitrary abelian group, and for each natural number n let Gn denote the cyclic group of order?
Prove that the function W:D(R)->F(R) given by W(f)=f" is an homomorphism?
Help Lagrange's Theorem, RSA Decoding, and Group Homomorphisms?
Can you find the quotient group Z^2/G?
Supposed that Φ is a homomorphism from a finite group x onto x̄ and that x̄ has an element of order 8.Prove...
Is the following fact (about pro-finite groups) true for group schemes?
Help! To prove an abelian subgroup!
group theory question?
Group Theory Question - non-abelian simple group A5?
Suppose that phi: G->H is an isomorphism of groups. Show phi^(-1) is a homomorphism.
Proof with maximal normal subgroups?
Prove that if a group G contains a subgroup H of finite index, then G contains a normal subgroup of finite index?
Suppose that there is a homomorphism phi from Z + Z to a group G such that phi((3,2))=a and phi((2,1))=b.
Is this map a homorphism?
abstract algebra (If G is any group, N⊲G)?
Abstract Algebra Help Please!!! Clueless :(?
Groups and symmetry: homomorphism/kernel?
If G is an abelian group, and f:G->Z (Z integersgroup) is a surjective homomorphism with kernel K, prove that?
Find a homomorphism from the quaternion group Q onto Z*8?
HELLLPPPPPPPP!!!!! Abstract Algebra Questions!!
Help Lagrange's Theorem, RSA Decoding, and Group Homomorphisms?
determine if the map is a homomorphism?
Suppose that phi is a homomorphism from a finite group G onto G' and that G' has an element of order 8.
group homomorphism and direct products?
Group Homomorphisms and Surjective Groups?
Groups and symmetry: homomorphism/kernel?
Define on operation on the integers Z as follows: for all a,b in Z, a*b=a+b-7?
Homomorphism group theory?
Group Homomorphisms: Abstract Algebra?
Help with an Algebra Problem?
Group Homomorphisms Question?
Abstract Algebra: Normal Subgroups?
Suppose that phi is a homomorphism from a finite group G onto G' and that G' has an element of order 8.
abstract algebra - homomorphism?
Abstract Algebra, help?
Can you show if G1 and G2 groups and [G1] is finite so is [phiG1], and [phiG1] divides [G1]?
Group theory help please?
Ideals and Rings Question? for an informative answer?
Does there exist a group homomorphism f:D_8 --> GL (2, R)?
Isomorphic, G has no prover, nontrivial subgroups?
Abstract Algebra that is too Abstract for me.
Prove the image of a group homomorphism is a subgroup.
Modern Algebra help! Let F be the additive group of functions mapping R-R with derivatives of all orders. ?
Why is UT2(Zmod3), the group of uppertriangular 2x2 matricies with entries in Zmod3 isomorphic to D6?
Why is UT2(Zmod3), the group of uppertriangular 2x2 matricies with entries in Zmod3 isomorphic to D6?
Suppose that f:G --> H is a homomorphism where (G,*) and (H,diamond) groups with idenies eg and eh.
Show Homomorphism group (Z/mZ, Z/nZ ) is cyclic group,determine its order?
Question about isomorphism?
let φ: G --> G' be a surjective homomorphism of groups. prove that If G is abelian, then G' is abelian
Showing this is a homomorphism?
consider a mapping F: x to y?
let phi: G--> H be a surjective homomorphism of groups. Show that H is abelian?
suppose f(G)=H is a homomorphism of groups.
Cannot do this Algebra question!!!
85. Let G be the group {+/-1,+/-i} with multiplication of complex numbers as composition.
Let f:G --> H be a group homomorphism which is onto.
Homomorphism groups (Abstract Algebra)?
Show that the kernel of a Group homomorphism must be normal.
Homomorphisms group theory?
Can someone please help me with this?
Construct a nontrivial homomorphism f from A(subscript )4 to H = {(1),(123),(132)}?
Help with a few Abstract Algebra Questions?
Is it possible to construct an example of a nontrivial homomorphism between the two groups?
Abstract Algebra:Define phi:C-->R by phi(a+bi)=a^2+b^2, for all a+bi in C. Show that phi is a homomorphism.
abstract algebra group theory question?
Sylow subgroups for G30
Let f: R^+ maps to C^x be the map F(x)=e^ix. prove f is homomorphism & determine its kernal and image?
Can you help with this question about groups and homomorphism?
Abstract Algebra:Define phi:C-->R by phi(a+bi)=a^2+b^2, for all a+bi in C. Show that phi is a homomorphism.
Suppose that f is a homomorphism from a finite group G onto G' and that G' has an element of order 8.
Algebra proof, Homomorphism?
suppose f(G)=H is a homomorphism of groups.
if G is a finite group, then any onto homomorphism from G to G is an isomorphism?
group theory question?
abstract algebra - homomorphism?
Prove that the function W:D(R)->F(R) given by W(f)=f" is an homomorphism?
Abstract Algebra practice exam?
Simple example of group homomorphism?
Group Homomorphism and order division?
if G and H groups with relatively prime orders, then the only homomorphism from G to H is the trivial one?
Homomorphism group theory?
abstract algebra - proof?
show group G is abelian iff phi:GxG -> G by phi(a,b) = ab is a group homomorphism?
abstract algebra - homomorphism?
Find all groups with 3 elements up to homomorphisms?
Question on the relationship between subgroups and group homomorphisms?
proof question about homomorphism 3?
Let G be finite non-abelian group and order of G is odd. Prove that if G contains an element g having exactly?
let G be a group and consider map phi: GxGxG onto G given by (x,y,z) onto xyz.
Two groups, two generators, generator of multiple?
Homomorphism / Isomorphism Question.. Any help?
Abstract Algebra Help?
Groups and symmetry: homomorphism/conjugates?
Group Homomorphisms: Abstract Algebra?
let φ: G --> G' be a surjective homomorphism of groups. prove that If G is abelian, then G' is abelian
abstract algebra (If G is any group, N⊲G)?
Groups and symmetry: homomorphism/conjugates?
Isomorphic, G has no prover, nontrivial subgroups?
Let f: G->H be a surjective homomorphism of groups with kernel K and let M be a subgroup of H?
Let G be a group and g_0 i G be fixed. For each of the following maps, determine whether it is a homomorphism.
i need a help please on abstract algebra proving.
How do you work out the image and kernel and quotient group of the homomorphism?
A homomorphism question?
Abstract Algebra problem.
Show that the kernel of a group homomorphism must be normal.
prove that there is no homomorphism from S5 onto a group of order 24?
Suppose that phi : Z(50)->Z(15) .....
Can you find the quotient group Z^2/G?
Suppose that the mapping alpha of G to H is a surjective homomorphism of groups.Let U be a subgroup of H.
ABSTRACT ALGEBRA: Define phi for this homomorphism?
Homomorphisms?
Injective homomorphism from group A to group B and vise versa. Are A and B isomorphic?
Abstract Algebra - Group/ Subgroups Tough ?
prove or disprove: if phi: G --> H is a homomorphism of groups, and g is an element of Z(G), then?
Can you please find all group homomorphisms from Z_9 to Z_3?
how can we find the number of homomorphisms from a group to another group?
Group Homomorphisms: ker(r)?
abstract algebra group theory question?
proof question about isomorphism?
Groups and symmetry: homomorphism/kernel?
group theory question 2 help?
Find a group homomorphism from U(5) to S_4 (S sub 4).
Homomorphism groups (Abstract Algebra)?
Prove that the inverse image of a subgroup of H is a subgroup of G.
Let phi:GtoG' be a group homomorphism, and let N be a normal subgroup ofG. Show that phi[N] is normal subgroup?
How do you work out the image and kernel and quotient group of the homomorphism?
Let phi:GtoG' be a group homomorphism, and let N be a normal subgroup ofG. Show that phi[N] is normal subgroup?
Groups! If k l n and f: U_n --> U_k is given by f( [ x ]_n) = [ x ]_k, show that f is a homomorphism and find?
Suppose that f:G --> H is a homomorphism where (G,*) and (H,diamond) groups with idenies eg and eh.
abstract algebra gruop homomorphism question?
Group Homomorphisms: ker(r)?
group definitions?
Find all the group homomorphisms from Z9 to Z6.
Homomorphism in complex numbers?
Group Homomorphisms Question?
Homomorphism of groups.
Describe a group homomorphism from U_5 to S_4 using Cayle's Theorm?
Proving isomorphisms of groups. Abstract Algebra. Help?
Show that any group homomorphism x:G->G' where the order of G is prime...
who can answer my question?
Provide and justify an example of an injective but not surjective homomorphism between groups.
prove this... abstract algebra?
abstract algebra group theory help?
Quotient groups and homomorphisms?
Abstract/Modern Algebra question about homomorphisms.
What Is a Topoligical Homomorphism?
f :G-->H is a surjective group homomorphism between finite groups show image of Sylow subgroup of G is Sylow
Abstract Algerbra Questions on Groups and permutations.
Group Theory - Homomorphism and Cyclic - Pls help?
Prove the image of a group homomorphism is a subgroup.
Let G be a group. Fix a ∃ G. Prove...
Need detail on Homomorphism proof.
Abstract Algebra - True or False? Explain.
group theory question?
abstract algebra question...
Let phi: G to G' be a group homomorphism. Show that if |G| is finite, then |phi[G]| is finite and divides |G|?
prove that there is no homomorphism from S5 onto a group of order 24?
Abstract Algebra - homomorphisms between groups...
Is it possible to construct an example of a nontrivial homomorphism between the two groups?
Suppose that f:G-->H is a homomorphism where (G,*) and (H,diamond) groups with idenies eG and eH.
Would it be feasible, or even very wise, for someone with my level of math experience to take abstract algebra?
Find all the group homomorphisms from Z9 to Z6.
Show that the kernel of a Group homomorphism must be normal.
Abstract Algebra Order of a Group?
Need detail on Homomorphism proof.
Suppose that phi: Z50 --> Z15 is a group homomorphism with phi(7) =6.
Quotient Groups and Homomorphisms?
group homomorphism question?
help with homomorphisms?
Help understanding the Grothendieck group?
Let @ be a group homomorphism of G1 onto G2. Prove that if G1 is abelian then so is G2. More below.
Abstract/Modern Algebra question about homomorphisms.
Let R[x] denote the group of all polynomials with real coefficients under addition.
Let f: G-->H be a homomorphism which is onto. If G is an abelian group, prove that H is also an abelian group?
Finding the image and kernel of a homomorphism?
Group Homomorphism Question?
Quotient Groups and Homomorphisms?
How do we show surjectivity for a group homomorphism?
Groups, normal subgroups proof?
let tr:M(2,R)→R denote trace map,determine w/proof if trace map is homomorphism, identify kernel.
Abstract Algerbra Questions on Groups and permutations.
Provide and justify an example for a surjective but not injective homomorphism between groups.
Prove that abs(G) divides abs(H) if f: G->H is an injective homomorphism and H is a finite group?
suppose that φ: Z50 →Z15 is a group homomorphism with φ(7) = 6?
Surjective and Injective?
Lie Group homomorphism questions?
Define on operation on the integers Z as follows: for all a,b in Z, a*b=a+b-7?
Question (Abstract Algebra)?
What is the kernel?
Prove that the map φ : Z → Zn defined by φ(x) = x reduced mod n is a group homomorphism, where the underlying?
please help me this abstract?
Abstract Algebra: Homomorphisms, Normal Subgroups?
Let G denote an arbitrary abelian group, and for each natural number n let Gn denote the cyclic group of order?
Abstract Algebra homomorphism proof?
please help me prove this.... abstract algebra..homomorphisms?
Homomorphisms group theory?
algebra (advanced group theory)?
Finite Groups, trivial homomorphism?
Prove that if a group G contains a subgroup H of finite index, then G contains a normal subgroup of finite index?
Abstract Algebra: Homomorphisms, Normal Subgroups?
help me please....
Find a group homomorphism from U(5) to S_4 (S sub 4).
Group theory help please?
Injective homomorphism from group A to group B and vise versa. Are A and B isomorphic?
Suppose that phi: Z50 --> Z15 is a group homomorphism with phi(7) =6.
What the group homomorphisms from Sn to Z2?
Let f: G->H be a surjective homomorphism of groups with kernel K and let M be a subgroup of H?
Subgroup Homomorphism Question?
Let f: G-->H be a homomorphism which is onto. If G is an abelian group, prove that H is also an abelian group?
Abstract Algebra Question?
GROUP THEORY: Question about homomorphism and isomorphism...
Abstract Algebra proof - need detailed answer - permutations and homomorphisms?
Suppose that there is a homomorphism phi from Z + Z to a group G such that phi((3,2))=a and phi((2,1))=b.
Group Homomorphisms and Surjective Groups?
Suppose that f:G-->H is a homomorphism where (G,*) and (H,diamond) groups with idenies eG and eH.
Prove Proposition 4, Abstract Algebra...
What can you tell me about this group?
Abstract Algebra - homomorphism--cyclic and abelian proof?
HELLLPPPPPPPP!!!!! Abstract Algebra Questions!!
let G be a group , Show that if |G|>2 then the Aut(G) is nontrivial?
Prove that if G is a simple Abelian group, then G is isomorphic to Z_p for some prime p.
Abstract Algebra help anyone?
Homomorphism?
Groups, normal subgroups proof?
Need to show that the group of additive rationals has no non-trivial finite homomorphic images.
Suppose that the mapping alpha of G to H is a surjective homomorphism of groups.Let U be a subgroup of H.
about homomorphism and factor groups?
Help with a few Abstract Algebra Questions?
Dihedral group?
Prove that sgn is a homomorphism from G to the multiplicative group {+1, -1}. What is the kernel?
Let f: R^+ maps to C^x be the map F(x)=e^ix. prove f is homomorphism & determine its kernal and image?
A question on the nature of the relationship between semi-direct group products and quotient groups...
If G is an abelian group, prove that the function f:G --> G defined by f(x)=x^2 is a homomorphism.
Construct a nontrivial homomorphism f from A(subscript )4 to H = {(1),(123),(132)}?
Group Theory - Homomorphism and Cyclic - Pls help?
Abstract Algebra. Examples of rings and groups?
Group Homomorphism help please?
Advanced algebra questions?
Group Homomorphism Question?
How do I prove cyclic group and homomorphism?
Is the following fact (about pro-finite groups) true for group schemes?
How to solve abstract algebra about homomorphism?
help with homomorphisms?
Abstract Algebra/Modern Algebra?
Showing this is a homomorphism?
Let s be a fixed integer and let phi be the mapping from a group G to itself with phi(g)=g^s for all g ex in G?
about homomorphisms.. pls help?
determine if the map is a homomorphism?
Question on the relationship between subgroups and group homomorphisms?
SUPER HELP PLEASE! : Find all homomorphisms of Z 12 into Z 6.
Provide and justify an example for a surjective but not injective homomorphism between groups.
Abstract Algebra homomorphism proof?
Group Homomorphisms: Abstract Algebra?
Show that the kernel of a group homomorphism must be normal.
how to determine this?
Let H and G be finite groups such that gcd(G,H) =1. Show that the only homomorphism from G to H is the Trivial?
Let G be a subgroup of some dihedral group.For each x in G, define?
Group theory question!! Surjective homomorphism?
Finding all group homomorphisms?
Let R[x] denote the group of all polynomials with real coefficients under addition.
Group Homomorphisms: Abstract Algebra?
A bijective homomorphism of groups f: G -> G is called an automorphism.