Question

Constructing a homomorphism from S4 to S3 that satisfies specific conditions

score 4.5k · Answer 1 · 2017-03-17 21:38:23

4.5k

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Constructing a homomorphism from S4 to S3 that satisfies specific conditions

Published on 17 Mar 2017 - 21:38

score 297 · Answer 2 · 2017-03-18 00:50:22

297

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Kernel of $GL(n, \mathbb{Z}) \to GL(n, \mathbb{Z}_{m})$

Published on 18 Mar 2017 - 0:50

score 12.2k · Answer 3 · 2026-03-26 21:26:25

12.2k

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Proving that $\phi$ is a group homomorphism. Also find the kernel and image of $\phi$

Published on 26 Mar 2026 - 21:26

score 154 · Answer 4 · 2017-03-18 12:32:47

154

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Not each subgroup $H\subset G$ can be the kernel of a homomorphism

Published on 18 Mar 2017 - 12:32

score 34 · Answer 5 · 2017-03-18 14:19:58

34

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calculating group homomorphisms

Published on 18 Mar 2017 - 14:19

score 167 · Answer 6 · 2017-03-19 19:21:15

167

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Question on group homomorphisms involving the standard Z-basis

Published on 19 Mar 2017 - 19:21

score 171 · Answer 7 · 2017-03-21 22:59:10

171

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$H_1$ and $H_2$ normal subgroups of $G$, $f(g)=(gH_1, gH_2)$ and $G.C.D.(|G/H_1|,|G/H_2|)=1$ then $f$ is epimorphism

Published on 21 Mar 2017 - 22:59

score 285 · Answer 8 · 2017-03-22 18:05:31

285

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Proof involving homomorphism between $\Bbb Z^n$ and an abelian group G

Published on 22 Mar 2017 - 18:05

score 2.6k · Answer 9 · 2017-03-22 18:40:47

2.6k

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Proving $\phi(G)$ is Abelian if $\phi$: $G \to H$ is a group homomorphism

Published on 22 Mar 2017 - 18:40

score 210 · Answer 10 · 2017-03-24 18:18:06

210

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Proof involving homomorphism between Z^n and an abelian group

Published on 24 Mar 2017 - 18:18

score 3.4k · Answer 11 · 2017-03-24 19:56:10

3.4k

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Implying that a group homomorphism is Surjective

Published on 24 Mar 2017 - 19:56

score 68 · Answer 12 · 2017-03-25 13:30:57

68

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How should i prove this homomorphism?

Published on 25 Mar 2017 - 13:30

score 4.3k · Answer 13 · 2017-03-28 18:07:03

4.3k

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Proving $\phi(G)$ is cyclic if $\phi$ : $G \to H$ is group homomorphism and $G$ is cyclic

Published on 28 Mar 2017 - 18:07

score 87 · Answer 14 · 2017-03-28 20:31:55

87

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Product of Homomorphisms

Published on 28 Mar 2017 - 20:31

score 1k · Answer 15 · 2017-03-28 21:02:58

1k

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Product of Homomorphisms into an Abelian Group is a homomorphism

Published on 28 Mar 2017 - 21:02

List Question

Constructing a homomorphism from S4 to S3 that satisfies specific conditions

Kernel of $GL(n, \mathbb{Z}) \to GL(n, \mathbb{Z}_{m})$

Proving that $\phi$ is a group homomorphism. Also find the kernel and image of $\phi$

Not each subgroup $H\subset G$ can be the kernel of a homomorphism

calculating group homomorphisms

Question on group homomorphisms involving the standard Z-basis

$H_1$ and $H_2$ normal subgroups of $G$, $f(g)=(gH_1, gH_2)$ and $G.C.D.(|G/H_1|,|G/H_2|)=1$ then $f$ is epimorphism

Proof involving homomorphism between $\Bbb Z^n$ and an abelian group G

Proving $\phi(G)$ is Abelian if $\phi$: $G \to H$ is a group homomorphism

Proof involving homomorphism between Z^n and an abelian group

Implying that a group homomorphism is Surjective

How should i prove this homomorphism?

Proving $\phi(G)$ is cyclic if $\phi$ : $G \to H$ is group homomorphism and $G$ is cyclic

Product of Homomorphisms

Product of Homomorphisms into an Abelian Group is a homomorphism

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