List questions from p-groups

Published on 18 Feb 2024 - 20:27

34

Views

Show that the intersection of the distinct subgroups of a $p$-group of index $p$ is normal.

Published on 24 Feb 2024 - 4:33

31

Views

$p$-groups with nontrivial intersection of nonnormal subgroups

Published on 07 Mar 2024 - 10:55

64

Views

2-generated p-groups with generators of order p

Published on 12 Mar 2024 - 17:58

47

Views

$p$-group with a cyclic subgroup

Published on 17 Mar 2024 - 18:57

22

Views

Huppert, III.19.2: How to construct a homomorphism from a $p$-group into the center of a maximal subgroup?

Published on 19 Mar 2024 - 13:24

132

Views

Frattini subgroup of a $p$- group of order $p^4$

Published on 03 Jan 2015 - 18:26

1.3k

Views

Deduce that if $G$ is a finite $p$-group, the number of subgroups of $G$ that are not normal is divisible by $p$

Published on 06 Jan 2015 - 20:16

331

Views

Reference request: groups of order $p^4$.

Published on 25 Mar 2026 - 6:18

489

Views

Group acting on its subsets

Published on 08 Jan 2015 - 0:59

248

Views

An example of a simple infinite $2$-group

Published on 16 Jan 2015 - 10:22

479

Views

Are Sylow p-subgroups in conjugate?

Published on 30 Jan 2015 - 12:39

139

Views

Abelian groups whose automorphism group is a $p$ group

Published on 01 Feb 2015 - 23:34

336

Views

Subgroups of Direct product of p-groups

Published on 07 Feb 2015 - 21:35

638

Views

Number of the subgroups of a $p$-group with order $p^k$ is congurent to $1$ modulo $p$

Published on 15 Feb 2015 - 18:37

List Question

About the two step centralizer

Show that the intersection of the distinct subgroups of a $p$-group of index $p$ is normal.

$p$-groups with nontrivial intersection of nonnormal subgroups

2-generated p-groups with generators of order p

$p$-group with a cyclic subgroup

Huppert, III.19.2: How to construct a homomorphism from a $p$-group into the center of a maximal subgroup?

Frattini subgroup of a $p$- group of order $p^4$

Deduce that if $G$ is a finite $p$-group, the number of subgroups of $G$ that are not normal is divisible by $p$

Reference request: groups of order $p^4$.

Group acting on its subsets

An example of a simple infinite $2$-group

Are Sylow p-subgroups in conjugate?

Abelian groups whose automorphism group is a $p$ group

Subgroups of Direct product of p-groups

Number of the subgroups of a $p$-group with order $p^k$ is congurent to $1$ modulo $p$

Trending Questions

Popular # Hahtags

Popular Questions