List questions from p-groups

Published on 07 Feb 2020 - 2:27

131

Views

Are there examples of subgroups of $\Bbb Z[\frac1n]/q\Bbb Z$ not totally ordered by inclusion?

Published on 22 Mar 2026 - 13:07

132

Views

Finite intersection property for sets containing generating elements of derived subgroups of quotients

Published on 24 Mar 2026 - 15:26

59

Views

Are there any references on extensions $G$ of a cyclic group $C_2$ by $2$-groups $P$?

Published on 25 Mar 2026 - 11:06

66

Views

A $p$-group that is divisible.

Published on 12 Mar 2020 - 18:58

79

Views

Classifcation of $p$-groups with cyclic subgroup of index $p$

Published on 20 Mar 2020 - 15:46

111

Views

Pattern in Number of Conjugacy Classes of p-groups

Published on 21 Mar 2020 - 12:25

47

Views

A condition implying powerfulness of finite $p$-groups, where $p$ is odd

Published on 23 Mar 2020 - 1:39

961

Views

$G$ has a unique normal subgroup of order $p$ iff $G$ is cyclic center.

Published on 25 Mar 2020 - 20:19

60

Views

A cyclic subgroup of a $p$-group

Published on 25 Mar 2020 - 21:05

173

Views

Every finite group contains a Sylow $p$-subgroup

Published on 27 Mar 2020 - 17:43

95

Views

Subgroup generated by Sylow $q$-groups of a finite group

Published on 28 Mar 2020 - 17:55

201

Views

Quotient of quotient groups and Sylow $p$-subgroups

Published on 31 Mar 2020 - 19:23

164

Views

Is the inverse image of a $p$-group under the canonical homomorphism also a $p$-group?

Published on 31 Mar 2020 - 21:05

107

Views

Cardinality of direct product of Sylow $p$-subgroups

Published on 02 Apr 2020 - 17:14

List Question

On generalized fitting subgroup

Are there examples of subgroups of $\Bbb Z[\frac1n]/q\Bbb Z$ not totally ordered by inclusion?

Finite intersection property for sets containing generating elements of derived subgroups of quotients

Are there any references on extensions $G$ of a cyclic group $C_2$ by $2$-groups $P$?

A $p$-group that is divisible.

Classifcation of $p$-groups with cyclic subgroup of index $p$

Pattern in Number of Conjugacy Classes of p-groups

A condition implying powerfulness of finite $p$-groups, where $p$ is odd

$G$ has a unique normal subgroup of order $p$ iff $G$ is cyclic center.

A cyclic subgroup of a $p$-group

Every finite group contains a Sylow $p$-subgroup

Subgroup generated by Sylow $q$-groups of a finite group

Quotient of quotient groups and Sylow $p$-subgroups

Is the inverse image of a $p$-group under the canonical homomorphism also a $p$-group?

Cardinality of direct product of Sylow $p$-subgroups

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