List questions from finite-groups

Published on 28 Mar 2026 - 4:52

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Is it true that $n_p!\le |G|$?

Published on 27 Mar 2026 - 5:05

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Finding Sylow p-subgroups

Published on 27 Mar 2026 - 4:56

384

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For finite group $G$ when is $|Aut(G)| < |G|$?

Published on 30 Oct 2014 - 4:24

148

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If a finite group acts transitively on a set, does its center also acts transitively?

Published on 30 Oct 2014 - 5:26

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A question about the proof of a theorem in Representation theory of groups

Published on 30 Oct 2014 - 8:30

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Group of order $18$ contains exactly one subgroup of order $9$

Published on 27 Mar 2026 - 5:03

315

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Conjugacy class size and simple group

Published on 01 Nov 2014 - 6:09

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Homomorphisms into the General Linear Group

Published on 01 Nov 2014 - 17:58

257

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cyclic group - automorphism - $f_a(x) = x^a$

Published on 02 Nov 2014 - 7:02

155

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quick way to prove $\mathbb{Z}_2 \times \mathbb{Z}_3$ is isomorphic to $\mathbb{Z}_6$

Published on 02 Nov 2014 - 19:42

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How to check which subgroups of $D_4$ are normal

Published on 02 Nov 2014 - 20:55

327

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Counting group homomorphisms

Published on 02 Nov 2014 - 22:17

183

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If $T$ be an invertible linear operator on a finite-dimensional vector space over a finite field , then $T^n$ is the identity operator?

Published on 31 Mar 2026 - 14:28

116

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Eigenspace of finite abelian group

Published on 29 Mar 2026 - 12:12

List Question

Group Action and Orbits

Is it true that $n_p!\le |G|$?

Finding Sylow p-subgroups

For finite group $G$ when is $|Aut(G)| < |G|$?

If a finite group acts transitively on a set, does its center also acts transitively?

A question about the proof of a theorem in Representation theory of groups

Group of order $18$ contains exactly one subgroup of order $9$

Conjugacy class size and simple group

Homomorphisms into the General Linear Group

cyclic group - automorphism - $f_a(x) = x^a$

quick way to prove $\mathbb{Z}_2 \times \mathbb{Z}_3$ is isomorphic to $\mathbb{Z}_6$

How to check which subgroups of $D_4$ are normal

Counting group homomorphisms

If $T$ be an invertible linear operator on a finite-dimensional vector space over a finite field , then $T^n$ is the identity operator?

Eigenspace of finite abelian group

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