List questions from p-groups

Published on 15 Sep 2015 - 13:54

49

Views

Proving some prooperty in finite p-groups when $\theta_g$ is inner automorphism induced by element $g$

Published on 16 Sep 2015 - 16:11

605

Views

If $G$ is a $p$-group then $\Phi(G)=G'G^p$

Published on 18 Sep 2015 - 21:36

78

Views

about conjecture "every finite nonabelian p-group admits a noninner automorphism of order p"

Published on 22 Sep 2015 - 13:04

40

Views

problem with showing some relations in finite non abelian p-group

Published on 03 Oct 2015 - 15:56

1.2k

Views

Let $G$ be a p-group with $|G|=p^n$. Show $G$ has normal subgroups of order $p^m$ for each $0<m<n$.

Published on 03 Oct 2015 - 19:44

192

Views

On commutator relations and nilpotency class of a $p$-group

Published on 02 Mar 2026 - 4:22

146

Views

On centers of infinite $p$-groups and nilpotent groups

Published on 06 Mar 2026 - 6:53

1.8k

Views

Commutator Subgroup in a $p$-group

Published on 28 Oct 2015 - 7:05

392

Views

A trivial center for a p-group.

Published on 31 Oct 2015 - 10:52

1k

Views

Unitriangular group $UT_n(\Bbb Z)$ is nilpotent with class $n$

Published on 06 Nov 2015 - 0:43

1.1k

Views

Frattini subgroup of a finite elementary abelian $p$-group is trivial

Published on 15 Dec 2015 - 17:54

360

Views

Groups of order $64$ with abelian group of automorphism

Published on 29 Dec 2015 - 5:13

320

Views

A problem in decomposing a p group into direct sum of nontrivial subgroups

Published on 03 Mar 2026 - 8:08

81

Views

Known result about such $p$ groups

Published on 28 Feb 2026 - 3:01

List Question

example of p-group with infinite Frattini subgroup

Proving some prooperty in finite p-groups when $\theta_g$ is inner automorphism induced by element $g$

If $G$ is a $p$-group then $\Phi(G)=G'G^p$

about conjecture "every finite nonabelian p-group admits a noninner automorphism of order p"

problem with showing some relations in finite non abelian p-group

Let $G$ be a p-group with $|G|=p^n$. Show $G$ has normal subgroups of order $p^m$ for each $0<m<n$.

On commutator relations and nilpotency class of a $p$-group

On centers of infinite $p$-groups and nilpotent groups

Commutator Subgroup in a $p$-group

A trivial center for a p-group.

Unitriangular group $UT_n(\Bbb Z)$ is nilpotent with class $n$

Frattini subgroup of a finite elementary abelian $p$-group is trivial

Groups of order $64$ with abelian group of automorphism

A problem in decomposing a p group into direct sum of nontrivial subgroups

Known result about such $p$ groups

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