List questions from p-groups

Published on 26 Mar 2026 - 2:58

295

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Finitely generated infinite $p$-group with a unique subgroup of order $p$

Published on 10 Jul 2012 - 8:00

4.8k

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proper subgroups of finite p-groups are properly contained in the normalizer

Published on 10 Jul 2012 - 8:47

587

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Unipotent action of pro-$p$-group

Published on 13 Aug 2012 - 14:28

135

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Is this problem correct that $HG'=G$?

Published on 23 Aug 2012 - 7:56

1.2k

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If a $p$-group acts on another $p$-group by automorphisms, there is a nontrivial fixed point.

Published on 23 Sep 2012 - 19:02

359

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Question About the Derived Series and Commutators

Published on 29 Sep 2012 - 17:03

202

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Divisible abelian $q$-group of finite rank

Published on 08 Oct 2012 - 22:03

46.1k

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Group with order $p^2$ must be abelian . How to prove that?

Published on 13 Oct 2012 - 11:23

404

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Normal Subgroups in a p-group

Published on 16 Oct 2012 - 17:40

160

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Extension of a p-group abelian by simple group

Published on 22 Oct 2012 - 4:04

106

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If $a^{3^3}=b^9=1$ for generators $a,b$ of $G$, can we conclude that $G$ is a $3$-group?

Published on 26 Oct 2012 - 5:36

8.7k

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If $H$ is a proper subgroup of a $p$-group $G$, then $H$ is proper in $N_G(H)$.

Published on 10 Nov 2012 - 21:02

206

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Tate $p$-nilpotent theorem

Published on 17 Nov 2012 - 17:30

710

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Does a Frobenius group with a $p$-group complement necessarily have a normal Sylow $2$-subgroup?

Published on 23 Feb 2026 - 8:23

List Question

Translation request: theorem concerning automorphisms of $p$-groups

Finitely generated infinite $p$-group with a unique subgroup of order $p$

proper subgroups of finite p-groups are properly contained in the normalizer

Unipotent action of pro-$p$-group

Is this problem correct that $HG'=G$?

If a $p$-group acts on another $p$-group by automorphisms, there is a nontrivial fixed point.

Question About the Derived Series and Commutators

Divisible abelian $q$-group of finite rank

Group with order $p^2$ must be abelian . How to prove that?

Normal Subgroups in a p-group

Extension of a p-group abelian by simple group

If $a^{3^3}=b^9=1$ for generators $a,b$ of $G$, can we conclude that $G$ is a $3$-group?

If $H$ is a proper subgroup of a $p$-group $G$, then $H$ is proper in $N_G(H)$.

Tate $p$-nilpotent theorem

Does a Frobenius group with a $p$-group complement necessarily have a normal Sylow $2$-subgroup?

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