Question

A finite normal subgroup is a subset of the center

score 543 · Answer 1 · 2018-05-20 11:40:10

543

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A finite normal subgroup is a subset of the center

Published on 20 May 2018 - 11:40

score 49 · Answer 2 · 2018-05-20 22:59:35

49

Views

If $\lvert\ker(\varphi)\rvert=p$ and $p$ is prime, then $G=\ker(\varphi)$

Published on 20 May 2018 - 22:59

score 1.9k · Answer 3 · 2026-03-23 13:48:41

1.9k

Views

A group homomorphism from $GL(n,\Bbb {R})$ such that $SL(n,\Bbb {R})$ is the kernel

Published on 23 Mar 2026 - 13:48

score 129 · Answer 4 · 2018-05-21 15:24:02

129

Views

Proof: There can be no non-zero homomorphism from $(\Bbb Z_4,+)$ to $(\Bbb Z_5,+)$

Published on 21 May 2018 - 15:24

score 264 · Answer 5 · 2018-05-21 15:26:54

264

Views

If $f$ is a homomorphism then it is one-to-one or onto

Published on 21 May 2018 - 15:26

score 736 · Answer 6 · 2018-05-22 12:26:11

736

Views

For every integer $n \geq 2$ , there is a unique non-trivial homomorphism $f: {S_n} \to \mathbb{C^*}$.

Published on 22 May 2018 - 12:26

score 345 · Answer 7 · 2026-03-25 07:52:28

345

Views

Homomorphism between free groups induced by group homomorphism of abelian groups.

Published on 25 Mar 2026 - 7:52

score 157 · Answer 8 · 2026-03-25 01:27:24

157

Views

Nontrivial homomorphism from a connected topological group to a discrete group?

Published on 25 Mar 2026 - 1:27

score 2.8k · Answer 9 · 2018-05-25 09:59:17

2.8k

Views

Describe all group homomorphisms from Z×Z into Z

Published on 25 May 2018 - 9:59

score 150 · Answer 10 · 2026-03-25 09:39:41

150

Views

image of homomorphism contains free group, then so does domain

Published on 25 Mar 2026 - 9:39

score 460 · Answer 11 · 2018-05-31 17:03:47

460

Views

Counting Homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$

Published on 31 May 2018 - 17:03

score 350 · Answer 12 · 2018-06-03 04:31:38

350

Views

Slight generalization of the First Isomorphism Theorem

Published on 03 Jun 2018 - 4:31

score 535 · Answer 13 · 2018-06-03 15:16:32

535

Views

Determine the number of surjective Homomorphism.

Published on 03 Jun 2018 - 15:16

score 122 · Answer 14 · 2018-06-05 10:50:43

122

Views

Surjective Homomorphism $f : \mathbb{Z}/12\mathbb{Z}\times \mathbb{Z}/6\mathbb{Z}\longrightarrow\mathbb{Z}/6\mathbb{Z}$.

Published on 05 Jun 2018 - 10:50

score 347 · Answer 15 · 2018-06-09 08:53:27

347

Views

Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$

Published on 09 Jun 2018 - 8:53

List Question

A finite normal subgroup is a subset of the center

If $\lvert\ker(\varphi)\rvert=p$ and $p$ is prime, then $G=\ker(\varphi)$

A group homomorphism from $GL(n,\Bbb {R})$ such that $SL(n,\Bbb {R})$ is the kernel

Proof: There can be no non-zero homomorphism from $(\Bbb Z_4,+)$ to $(\Bbb Z_5,+)$

If $f$ is a homomorphism then it is one-to-one or onto

For every integer $n \geq 2$ , there is a unique non-trivial homomorphism $f: {S_n} \to \mathbb{C^*}$.

Homomorphism between free groups induced by group homomorphism of abelian groups.

Nontrivial homomorphism from a connected topological group to a discrete group?

Describe all group homomorphisms from Z×Z into Z

image of homomorphism contains free group, then so does domain

Counting Homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$

Slight generalization of the First Isomorphism Theorem

Determine the number of surjective Homomorphism.

Surjective Homomorphism $f : \mathbb{Z}/12\mathbb{Z}\times \mathbb{Z}/6\mathbb{Z}\longrightarrow\mathbb{Z}/6\mathbb{Z}$.

Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$

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