List questions from finite-groups

Published on 11 Apr 2026 - 21:38

5.2k

Views

Prove that a homomorphism $\phi$ must be trivial.

Published on 14 Apr 2026 - 2:26

2.2k

Views

Proof explanation: Cayley's Theorem

Published on 07 Apr 2026 - 20:26

420

Views

Problem 6.10, I. Martin Isaacs' Character Theory

Published on 13 Apr 2026 - 13:00

128

Views

A question about the number of generators of a finite group

Published on 10 Apr 2026 - 16:14

490

Views

Permutation Groups - Rewrite as disjoint cycles / transpositions

Published on 10 Apr 2026 - 22:28

284

Views

Is a simple quotient group of finite $G$ isomorphic to any nontrivial simple normal subgroup of $G$?

Published on 13 Apr 2026 - 22:23

617

Views

Composition series after quotient is still composition series

Published on 09 Apr 2026 - 1:57

172

Views

Semidirect product $\mathbb{F}_q \rtimes \mathbb{F}_q'$

Published on 16 Apr 2026 - 23:28

30

Views

Are $G/A$ and $G/B$ isomorphic if $A$ and $B$ have the same order?

Published on 16 Apr 2026 - 14:28

98

Views

Given $\mathrm{Gal}(E/ F)$ find $E$ and $F$

Published on 16 Apr 2026 - 15:20

2.8k

Views

Transitive subgroup of symmetric group

Published on 11 Apr 2026 - 21:14

145

Views

Endomorphisms and automorphisms of product of finite groups of coprime order

Published on 15 Apr 2026 - 7:03

1.2k

Views

Inner vs outer semidirect products of $S_3$ and $D_4$

Published on 13 Apr 2026 - 17:16

241

Views

Subgroups of a finite, normal, cyclic group.

Published on 13 Apr 2026 - 17:05

List Question

Questions about specific, two-elements generated group

Prove that a homomorphism $\phi$ must be trivial.

Proof explanation: Cayley's Theorem

Problem 6.10, I. Martin Isaacs' Character Theory

A question about the number of generators of a finite group

Permutation Groups - Rewrite as disjoint cycles / transpositions

Is a simple quotient group of finite $G$ isomorphic to any nontrivial simple normal subgroup of $G$?

Composition series after quotient is still composition series

Semidirect product $\mathbb{F}_q \rtimes \mathbb{F}_q'$

Are $G/A$ and $G/B$ isomorphic if $A$ and $B$ have the same order?

Given $\mathrm{Gal}(E/ F)$ find $E$ and $F$

Transitive subgroup of symmetric group

Endomorphisms and automorphisms of product of finite groups of coprime order

Inner vs outer semidirect products of $S_3$ and $D_4$

Subgroups of a finite, normal, cyclic group.

Trending Questions

Popular # Hahtags

Popular Questions