List questions from group-homomorphism

Published on 25 Mar 2026 - 10:56

690

Views

Number of homomorphisms between $S_3$ and $Z_4=C_4$

Published on 07 Mar 2019 - 21:22

388

Views

Is there an injective homomorphism from $S_4$ to $GL(2,C)$

Published on 11 Mar 2019 - 7:53

718

Views

Is the free product of residually finite groups always residually finite?

Published on 25 Mar 2026 - 11:04

281

Views

Group Homomorphisms into an Abelian Group

Published on 13 Mar 2019 - 6:26

27

Views

Taking the Homomorphism of a Subgroup

Published on 16 Mar 2019 - 17:37

692

Views

$x \mapsto x^n $ is a automorphism of group $G$, show that for all $x$ in $G$, $x^{n-1} \in Z(G)$.

Published on 17 Mar 2019 - 9:27

103

Views

First isomorphism theorem on groups

Published on 19 Mar 2019 - 9:57

76

Views

A problem about number of functions and homomorphism

Published on 19 Mar 2019 - 10:46

91

Views

Second isomorphism theorem on groups

Published on 20 Mar 2019 - 10:10

209

Views

Third isomorphism theorem on groups

Published on 21 Mar 2019 - 5:07

36

Views

Group representation preserving finitely many generators

Published on 21 Mar 2019 - 18:33

58

Views

Homorphism between groups and generators

Published on 21 Mar 2019 - 19:18

342

Views

Confusion about a proof about subgroups of dihedral groups

Published on 26 Mar 2026 - 4:31

94

Views

Exact sequence of groups: proof of injectivity

Published on 25 Mar 2026 - 23:53

List Question

Homomorphism condition for a subset of a group generates the whole group

Number of homomorphisms between $S_3$ and $Z_4=C_4$

Is there an injective homomorphism from $S_4$ to $GL(2,C)$

Is the free product of residually finite groups always residually finite?

Group Homomorphisms into an Abelian Group

Taking the Homomorphism of a Subgroup

$x \mapsto x^n $ is a automorphism of group $G$, show that for all $x$ in $G$, $x^{n-1} \in Z(G)$.

First isomorphism theorem on groups

A problem about number of functions and homomorphism

Second isomorphism theorem on groups

Third isomorphism theorem on groups

Group representation preserving finitely many generators

Homorphism between groups and generators

Confusion about a proof about subgroups of dihedral groups

Exact sequence of groups: proof of injectivity

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