List questions from p-groups

Published on 08 Jan 2016 - 14:05

181

Views

Classifying $2$-groups with cyclic center of order $2^n$ and index $4$

Published on 25 Mar 2026 - 17:25

198

Views

Power automorphisms which is not inner

Published on 11 Jan 2016 - 7:20

121

Views

Number of $p$-groups of small order and of exponent $p$

Published on 25 Mar 2026 - 9:29

222

Views

What does "the subgroups of $G$ form a chain" mean?

Published on 16 Jan 2016 - 19:05

116

Views

Highest power of $p$ dividing $|\text{Aut}(G)|$ if $|G| = p^\alpha$

Published on 18 Jan 2016 - 17:40

41

Views

Homomorphisms $G\to\text{Aut}(G)$ for a $p$-group

Published on 21 Jan 2016 - 15:35

1k

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Classify all groups of order $p^2q^2$ up to isomorphism

Published on 24 Jan 2016 - 14:58

116

Views

Automorphisms of a group and subgroup

Published on 29 Jan 2016 - 15:20

343

Views

Characteristic subgroups of non-abelian $p$-group

Published on 23 Feb 2026 - 5:43

81

Views

Index of a maximal subgroup among normal abelian subgroups

Published on 25 Mar 2026 - 0:19

61

Views

There is a group representation of $\Bbb Z/p\Bbb Z$ that is not decomposable over the field $\Bbb F_p$, where $p$ is prime

Published on 05 Mar 2016 - 17:01

748

Views

A finite $p$-group has a supersolvable series.

Published on 07 Mar 2016 - 1:10

499

Views

Finite abelian p-group with an element of maximal order

Published on 08 Mar 2016 - 6:46

109

Views

On finite capable $p$-group of class two

Published on 12 Mar 2016 - 18:55

List Question

When Center of group is a subset of Normalizer($Z(G) \subset N(a)$).

Classifying $2$-groups with cyclic center of order $2^n$ and index $4$

Power automorphisms which is not inner

Number of $p$-groups of small order and of exponent $p$

What does "the subgroups of $G$ form a chain" mean?

Highest power of $p$ dividing $|\text{Aut}(G)|$ if $|G| = p^\alpha$

Homomorphisms $G\to\text{Aut}(G)$ for a $p$-group

Classify all groups of order $p^2q^2$ up to isomorphism

Automorphisms of a group and subgroup

Characteristic subgroups of non-abelian $p$-group

Index of a maximal subgroup among normal abelian subgroups

There is a group representation of $\Bbb Z/p\Bbb Z$ that is not decomposable over the field $\Bbb F_p$, where $p$ is prime

A finite $p$-group has a supersolvable series.

Finite abelian p-group with an element of maximal order

On finite capable $p$-group of class two

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