List questions from group-homomorphism

Published on 01 Dec 2015 - 8:34

49

Views

Find an example of a homomorphism of $D_4$ to $Z_8$ such that $\ker=\{e,R,F\}$.

Published on 01 Dec 2015 - 8:55

500

Views

Number of group homomorphism from $Z_8$ ⊕ $Z_2$ to $Z_4$ ⊕ $Z_4$

Published on 01 Dec 2015 - 9:49

2k

Views

Group Theory: Show that $G/Z(G) \cong \operatorname{Inn}(G) $?

Published on 05 Dec 2015 - 1:22

69

Views

Let $n \ge 3$. Prove that there are $n!$ different one-to-one homomorphisms from $D_n$ to $S_n$

Published on 27 Mar 2026 - 18:27

66

Views

What is $D_{10}/\left \langle \sigma \right \rangle$ where $D_{10}$ is the Dihedral Group or a regular Pentagon?

Published on 06 Dec 2015 - 15:02

55

Views

$G$ and $G/H$ representations

Published on 07 Dec 2015 - 16:59

72

Views

Few group theory questions

Published on 08 Dec 2015 - 21:17

211

Views

Show that $S_4/K \cong S_3$

Published on 09 Dec 2015 - 23:47

392

Views

Flip Isomorphism for Groups

Published on 09 Dec 2015 - 23:47

282

Views

number of homomorphisms from $S_n$ to $\mathbb Z_n$

Published on 13 Dec 2015 - 15:43

905

Views

Prove cis($\theta$) is a homomorphism

Published on 14 Dec 2015 - 0:32

396

Views

Finding a group homomorphism

Published on 14 Dec 2015 - 0:58

367

Views

Residually Finite Braid Group

Published on 25 Mar 2026 - 14:00

82

Views

Show that $\varphi:KN\rightarrow K$ is a homomorphism

Published on 16 Dec 2015 - 2:16

List Question

Proving that a homomorphism is abelian

Find an example of a homomorphism of $D_4$ to $Z_8$ such that $\ker=\{e,R,F\}$.

Number of group homomorphism from $Z_8$ ⊕ $Z_2$ to $Z_4$ ⊕ $Z_4$

Group Theory: Show that $G/Z(G) \cong \operatorname{Inn}(G) $?

Let $n \ge 3$. Prove that there are $n!$ different one-to-one homomorphisms from $D_n$ to $S_n$

What is $D_{10}/\left \langle \sigma \right \rangle$ where $D_{10}$ is the Dihedral Group or a regular Pentagon?

$G$ and $G/H$ representations

Few group theory questions

Show that $S_4/K \cong S_3$

Flip Isomorphism for Groups

number of homomorphisms from $S_n$ to $\mathbb Z_n$

Prove cis($\theta$) is a homomorphism

Finding a group homomorphism

Residually Finite Braid Group

Show that $\varphi:KN\rightarrow K$ is a homomorphism

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