Question

Homomorphisms between different types of groups

score 384 · Answer 1 · 2019-11-04 03:34:09

384

Views

Homomorphisms between different types of groups

Published on 04 Nov 2019 - 3:34

score 45 · Answer 2 · 2026-03-24 22:06:13

45

Views

Image of group homorphism between $GL_2(\mathbb{F_3})$ and $S_4$ induced by group action

Published on 24 Mar 2026 - 22:06

score 43 · Answer 3 · 2019-11-04 14:35:50

43

Views

Index of abelian groups equals the index of the core and the image

Published on 04 Nov 2019 - 14:35

score 551 · Answer 4 · 2019-11-06 00:51:15

551

Views

Question about abelian groups, $\mathbb{Z}$-modules and homomorphisms.

Published on 06 Nov 2019 - 0:51

score 135 · Answer 5 · 2026-03-25 18:50:08

135

Views

Necessary and sufficient condition for semi-direct product of a group G with a normal subgroup N and some subgroup H

Published on 25 Mar 2026 - 18:50

score 45 · Answer 6 · 2019-11-07 01:24:59

45

Views

Proving that endomorphisms can be induced by pointed maps?

Published on 07 Nov 2019 - 1:24

score 60 · Answer 7 · 2026-03-25 17:37:02

60

Views

A simple question about homomorphisms between finite groups and free groups

Published on 25 Mar 2026 - 17:37

score 28 · Answer 8 · 2026-03-27 07:49:38

28

Views

show for every homomorphism $\varphi$, there is a pointed map that induces it.

Published on 27 Mar 2026 - 7:49

score 115 · Answer 9 · 2019-11-10 17:44:14

115

Views

Homomorphisms, Kernel and Image

Published on 10 Nov 2019 - 17:44

score 36 · Answer 10 · 2019-11-12 18:04:31

36

Views

Define $\varphi:S_4\to S_4$ via $\alpha\mapsto(1 3 4)\alpha$. How would I prove $\varphi$ is not a homorphism?

Published on 12 Nov 2019 - 18:04

score 1k · Answer 11 · 2019-11-12 23:14:24

1k

Views

True or false: If $N$ is a normal subgroup of $G$, then $gng^{-1 }= n$ for all $n \in N$ and $g \in G$. Justify

Published on 12 Nov 2019 - 23:14

score 72 · Answer 12 · 2026-03-25 14:38:03

72

Views

Field homomorphism $\mathbb{Z}/3\mathbb{Z} \to \mathbb{Z}/5\mathbb{Z}$

Published on 25 Mar 2026 - 14:38

score 264 · Answer 13 · 2019-11-14 02:38:50

264

Views

Prove that if $\theta$ is a homomorphism of $G$ onto $H$, $B \triangleleft H$, and $A=\{g \in G: \theta (g) \in B\}$, then $A \triangleleft G$

Published on 14 Nov 2019 - 2:38

score 184 · Answer 14 · 2019-11-14 03:03:08

184

Views

How to find all group homomorphisms $\left(\mathbb{Z}/3\mathbb{Z} \right) ^\times\to \left(\mathbb{Z}/5\mathbb{Z}\right )^\times$

Published on 14 Nov 2019 - 3:03

score 625 · Answer 15 · 2019-11-14 21:27:31

625

Views

What is U(1)/Z2 isomorphic to?

Published on 14 Nov 2019 - 21:27

List Question

Homomorphisms between different types of groups

Image of group homorphism between $GL_2(\mathbb{F_3})$ and $S_4$ induced by group action

Index of abelian groups equals the index of the core and the image

Question about abelian groups, $\mathbb{Z}$-modules and homomorphisms.

Necessary and sufficient condition for semi-direct product of a group G with a normal subgroup N and some subgroup H

Proving that endomorphisms can be induced by pointed maps?

A simple question about homomorphisms between finite groups and free groups

show for every homomorphism $\varphi$, there is a pointed map that induces it.

Homomorphisms, Kernel and Image

Define $\varphi:S_4\to S_4$ via $\alpha\mapsto(1 3 4)\alpha$. How would I prove $\varphi$ is not a homorphism?

True or false: If $N$ is a normal subgroup of $G$, then $gng^{-1 }= n$ for all $n \in N$ and $g \in G$. Justify

Field homomorphism $\mathbb{Z}/3\mathbb{Z} \to \mathbb{Z}/5\mathbb{Z}$

Prove that if $\theta$ is a homomorphism of $G$ onto $H$, $B \triangleleft H$, and $A=\{g \in G: \theta (g) \in B\}$, then $A \triangleleft G$

How to find all group homomorphisms $\left(\mathbb{Z}/3\mathbb{Z} \right) ^\times\to \left(\mathbb{Z}/5\mathbb{Z}\right )^\times$

What is U(1)/Z2 isomorphic to?

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