List questions from finite-groups

Published on 30 Mar 2026 - 3:54

810

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Normal Sylow $p$-subgroup of a normal subgroup

Published on 26 Mar 2026 - 14:42

161

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If $G$ is solvable and $G/[G,G]$ is cyclic, can $G\times G$ be generated by 2 elements?

Published on 25 Mar 2026 - 9:32

280

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Normal subgroup $N$, subgroup $U$, then $UN/N = U/N$.

Published on 15 Apr 2014 - 17:38

663

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Isomorphisms in finite abelian groups

Published on 15 Apr 2014 - 20:31

338

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Find all sub groups of order $4$ in $\mathbf{Z}_4 \oplus \mathbf{Z}_4$ . Are they all cyclic?

Published on 17 Apr 2014 - 9:41

65

Views

Groups with single conjugacy class of subgroups.

Published on 17 Apr 2014 - 9:47

315

Views

Questions on proof that transvections are conjugate in $GL(V)$.

Published on 17 Apr 2014 - 13:20

209

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permutation problem: cycle representation

Published on 27 Mar 2026 - 12:00

129

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conjugacy classes and order of group

Published on 27 Mar 2026 - 23:00

120

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Groups - Inversions

Published on 17 Apr 2014 - 18:58

246

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What is the difference between operator groups and group actions?

Published on 17 Apr 2014 - 19:02

295

Views

An algorithm for generating a finite group with a finite set of generators

Published on 25 Mar 2026 - 3:22

361

Views

An application of Sylow theorems in p-groups!

Published on 26 Mar 2026 - 14:42

610

Views

What are the finite groups with 8 or 16 conjugacy classes?

Published on 17 Apr 2014 - 22:41

List Question

Existence of a map $\phi:\mathbb{Z}_{N^2}^* \mapsto \mathbb{F} $

Normal Sylow $p$-subgroup of a normal subgroup

If $G$ is solvable and $G/[G,G]$ is cyclic, can $G\times G$ be generated by 2 elements?

Normal subgroup $N$, subgroup $U$, then $UN/N = U/N$.

Isomorphisms in finite abelian groups

Find all sub groups of order $4$ in $\mathbf{Z}_4 \oplus \mathbf{Z}_4$ . Are they all cyclic?

Groups with single conjugacy class of subgroups.

Questions on proof that transvections are conjugate in $GL(V)$.

permutation problem: cycle representation

conjugacy classes and order of group

Groups - Inversions

What is the difference between operator groups and group actions?

An algorithm for generating a finite group with a finite set of generators

An application of Sylow theorems in p-groups!

What are the finite groups with 8 or 16 conjugacy classes?

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