Question

How to find set of all automorphism of G in given question without evaluating each bijective map?

score 45 · Answer 1 · 2026-03-25 15:53:02

45

Views

How to find set of all automorphism of G in given question without evaluating each bijective map?

Published on 25 Mar 2026 - 15:53

score 45 · Answer 2 · 2018-11-09 18:05:30

45

Views

Kernel of group homomorphism

Published on 09 Nov 2018 - 18:05

score 42 · Answer 3 · 2018-11-10 17:32:56

42

Views

Homomorphism between groups and group order

Published on 10 Nov 2018 - 17:32

score 51 · Answer 4 · 2026-03-26 01:16:01

51

Views

Axioms for the generalized cohomology

Published on 26 Mar 2026 - 1:16

score 477 · Answer 5 · 2018-11-11 14:14:03

477

Views

Group homomorphism from $A_n$ to $C^*$

Published on 11 Nov 2018 - 14:14

score 62 · Answer 6 · 2018-11-12 17:15:54

62

Views

Why is $\phi_1: Z_{16} \rightarrow Z_{16}$ a homomorphism but $\phi_2: Z_{16} \rightarrow Z_{24}$ is not?

Published on 12 Nov 2018 - 17:15

score 258 · Answer 7 · 2026-03-25 16:03:25

258

Views

Number of homomorphism between a free group $F(S)$ and a group $G$

Published on 25 Mar 2026 - 16:03

score 237 · Answer 8 · 2018-11-13 06:22:52

237

Views

If $G$ is a finite group of odd order, show there is only one homomorphism between $G$ and $\mathbb{R}^{\times}$ which is the trivial one.

Published on 13 Nov 2018 - 6:22

score 66 · Answer 9 · 2018-11-13 16:36:37

66

Views

How to find a homomorphic map in following question?

Published on 13 Nov 2018 - 16:36

score 65 · Answer 10 · 2018-11-20 06:13:53

65

Views

Find two distinct group homomorphisms between $(U_{11}, *)$ and $(\mathbb{Z}_{10}, +)$

Published on 20 Nov 2018 - 6:13

score 165 · Answer 11 · 2026-03-26 01:06:09

165

Views

Isomorphism on a torsion group - automorphism or endomorphism?

Published on 26 Mar 2026 - 1:06

score 85 · Answer 12 · 2026-03-25 07:45:43

85

Views

If there exists an epimorphism from a group $G_1$ to $G_2$ that is not one-to-one, then can $G_1$ and $G_2$ be isomorphic?

Published on 25 Mar 2026 - 7:45

score 50 · Answer 13 · 2026-03-25 07:48:59

50

Views

Isomorphism $\{1\}\times \mathbb C^\to \{1\}\times \mathbb C^$

Published on 25 Mar 2026 - 7:48

score 2k · Answer 14 · 2026-03-25 12:49:43

2k

Views

Suppose $H$ and $K$ are normal subgroups of $G$. Prove that $G/H \times G/K$ has a subgroup that is isomorphic to $G / (H∩K)$.

Published on 25 Mar 2026 - 12:49

score 556 · Answer 15 · 2018-11-23 23:51:28

Let H be a subgroup of finite group G. G acts on G/H by left multiplication. This induces a homomorphism. Show that its kernel is in H

List Question

How to find set of all automorphism of G in given question without evaluating each bijective map?

Kernel of group homomorphism

Homomorphism between groups and group order

Axioms for the generalized cohomology

Group homomorphism from $A_n$ to $C^*$

Why is $\phi_1: Z_{16} \rightarrow Z_{16}$ a homomorphism but $\phi_2: Z_{16} \rightarrow Z_{24}$ is not?

Number of homomorphism between a free group $F(S)$ and a group $G$

If $G$ is a finite group of odd order, show there is only one homomorphism between $G$ and $\mathbb{R}^{\times}$ which is the trivial one.

How to find a homomorphic map in following question?

Find two distinct group homomorphisms between $(U_{11}, *)$ and $(\mathbb{Z}_{10}, +)$

Isomorphism on a torsion group - automorphism or endomorphism?

If there exists an epimorphism from a group $G_1$ to $G_2$ that is not one-to-one, then can $G_1$ and $G_2$ be isomorphic?

Isomorphism $\{1\}\times \mathbb C^\to \{1\}\times \mathbb C^$

Suppose $H$ and $K$ are normal subgroups of $G$. Prove that $G/H \times G/K$ has a subgroup that is isomorphic to $G / (H∩K)$.

Let H be a subgroup of finite group G. G acts on G/H by left multiplication. This induces a homomorphism. Show that its kernel is in H

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