List questions from p-groups

Published on 17 Feb 2013 - 17:21

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There exists only two groups of order $p^2$ up to isomorphism.

Published on 01 Mar 2013 - 0:05

379

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References on the theory of $2$-groups.

Published on 27 Mar 2026 - 1:33

198

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$\pi$-radical of group

Published on 03 Mar 2013 - 16:18

205

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The equivalence classes of $N\sim M\Leftrightarrow G/N\cong G/M$.

Published on 25 Mar 2026 - 22:26

243

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Is it true to say $Z(G)\subseteq N_G(H)$?

Published on 13 Mar 2013 - 1:57

178

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p-group and group actions

Published on 19 Mar 2013 - 2:01

298

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at least one element fixed by all the group

Published on 20 Mar 2013 - 2:36

2.8k

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Let $G$ be a finite group and $P$ be a Sylow $p$-subgroups of $G$. Let $H$ be a subgroup of $G$ such that $N_G(P)\subset H$. Prove that $N_G(H)=H$

Published on 22 Mar 2013 - 18:36

179

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A question about finitely generated $p$-groups

Published on 28 Mar 2013 - 18:30

80

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A question on finite $p$-groups.

Published on 28 Mar 2013 - 20:49

315

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A problem from Isaacs's Finite Group Theory

Published on 06 Aug 2020 - 0:48

62

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Infinite pro-$p$ group of finite solvable length and finite coclass

Published on 25 Mar 2026 - 6:06

521

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$G$ is a $p$-group and $N$ a normal subgroup

Published on 25 Aug 2020 - 10:29

147

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$p$-group and an normal subgroup, need help to start my solution

Published on 26 Aug 2020 - 12:17

List Question

Subgroups of order $p$ and $p^{n-1}$ in a group of order $p^n$.

There exists only two groups of order $p^2$ up to isomorphism.

References on the theory of $2$-groups.

$\pi$-radical of group

The equivalence classes of $N\sim M\Leftrightarrow G/N\cong G/M$.

Is it true to say $Z(G)\subseteq N_G(H)$?

p-group and group actions

at least one element fixed by all the group

Let $G$ be a finite group and $P$ be a Sylow $p$-subgroups of $G$. Let $H$ be a subgroup of $G$ such that $N_G(P)\subset H$. Prove that $N_G(H)=H$

A question about finitely generated $p$-groups

A question on finite $p$-groups.

A problem from Isaacs's Finite Group Theory

Infinite pro-$p$ group of finite solvable length and finite coclass

$G$ is a $p$-group and $N$ a normal subgroup

$p$-group and an normal subgroup, need help to start my solution

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