Question

Number of homomorphisms in group theory

score 476 · Answer 1 · 2015-08-10 03:34:32

476

Views

Number of homomorphisms in group theory

Published on 10 Aug 2015 - 3:34

score 420 · Answer 2 · 2015-08-10 17:30:22

420

Views

Is $\operatorname{Hom}(G/Z(G),Z(G))$ an abelian group?

Published on 10 Aug 2015 - 17:30

score 137 · Answer 3 · 2015-08-16 05:54:13

137

Views

Proving or disproving of a homomorphism between two groups

Published on 16 Aug 2015 - 5:54

score 1.3k · Answer 4 · 2015-08-16 10:52:28

1.3k

Views

All homomorphisms from $\Bbb{Z}$ and $\Bbb{Z}/n\Bbb{Z}$ into $(\Bbb{C},+)$, $(\Bbb{C}^{\times},\cdot)$ and $(S^1,\cdot)$.

Published on 16 Aug 2015 - 10:52

score 90 · Answer 5 · 2015-08-17 13:56:44

90

Views

How many homomorphisms are there $\Bbb Z_{12} $ to $\Bbb Z^*_{38} $?

Published on 17 Aug 2015 - 13:56

score 46 · Answer 6 · 2015-08-17 18:07:00

46

Views

How to find $\sigma(\bar 9)$ if $\sigma(\bar5)=\bar6?$

Published on 17 Aug 2015 - 18:07

score 61 · Answer 7 · 2015-08-17 23:31:27

61

Views

How to find the kernel of $\sigma: \Bbb Z_{17}\to G $

Published on 17 Aug 2015 - 23:31

score 3.8k · Answer 8 · 2026-03-27 05:58:04

3.8k

Views

A group homomorphism from a simple group is injective

Published on 27 Mar 2026 - 5:58

score 405 · Answer 9 · 2015-08-24 04:43:12

405

Views

If $\phi$ is an isomorphism, $\phi(g)^n = 1 \iff g^n = 1$. Doesn't this hold for homomorphisms too?

Published on 24 Aug 2015 - 4:43

score 68 · Answer 10 · 2015-09-01 09:45:54

68

Views

Homomorphisms from $\mathbb{Z}_p$ to $\mathbb{Z}_3$

Published on 01 Sep 2015 - 9:45

score 560 · Answer 11 · 2015-09-01 21:29:54

560

Views

Question about Homomorphism and Isomorphism

Published on 01 Sep 2015 - 21:29

score 72 · Answer 12 · 2015-09-02 06:59:33

72

Views

Does such homomorphism exist?

Published on 02 Sep 2015 - 6:59

score 149 · Answer 13 · 2015-09-03 02:08:55

149

Views

Question in line of proof for first isomorphism theorem

Published on 03 Sep 2015 - 2:08

score 103 · Answer 14 · 2015-09-03 14:41:10

103

Views

$f,g:\mathbb Z_5 \to S_5$ be non-trivial group homomorphisms , then $\exists \sigma \in S_5$ such that $f([1])=\sigma g([1])\sigma ^{-1}$?

Published on 03 Sep 2015 - 14:41

score 697 · Answer 15 · 2015-09-04 12:06:59

697

Views

show a conclusion from the homomorphism $\phi : \Bbb R _{>0} \to \Bbb R$ such that $\phi (r) = \log(r)$

Published on 04 Sep 2015 - 12:06

List Question

Number of homomorphisms in group theory

Is $\operatorname{Hom}(G/Z(G),Z(G))$ an abelian group?

Proving or disproving of a homomorphism between two groups

All homomorphisms from $\Bbb{Z}$ and $\Bbb{Z}/n\Bbb{Z}$ into $(\Bbb{C},+)$, $(\Bbb{C}^{\times},\cdot)$ and $(S^1,\cdot)$.

How many homomorphisms are there $\Bbb Z_{12} $ to $\Bbb Z^*_{38} $?

How to find $\sigma(\bar 9)$ if $\sigma(\bar5)=\bar6?$

How to find the kernel of $\sigma: \Bbb Z_{17}\to G $

A group homomorphism from a simple group is injective

If $\phi$ is an isomorphism, $\phi(g)^n = 1 \iff g^n = 1$. Doesn't this hold for homomorphisms too?

Homomorphisms from $\mathbb{Z}_p$ to $\mathbb{Z}_3$

Question about Homomorphism and Isomorphism

Does such homomorphism exist?

Question in line of proof for first isomorphism theorem

$f,g:\mathbb Z_5 \to S_5$ be non-trivial group homomorphisms , then $\exists \sigma \in S_5$ such that $f([1])=\sigma g([1])\sigma ^{-1}$?

show a conclusion from the homomorphism $\phi : \Bbb R _{>0} \to \Bbb R$ such that $\phi (r) = \log(r)$

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