List questions from p-groups

Published on 16 Apr 2026 - 3:18

136

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

Published on 03 May 2026 - 8:19

142

Views

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

Published on 29 Apr 2026 - 16:13

60

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

Published on 11 May 2026 - 1:09

70

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A $p$-group that is divisible.

Published on 11 May 2026 - 0:20

82

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

Published on 17 Apr 2026 - 11:47

114

Views

Pattern in Number of Conjugacy Classes of p-groups

Published on 13 Apr 2026 - 21:15

50

Views

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

Published on 16 Apr 2026 - 9:47

964

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

Published on 16 Apr 2026 - 0:49

63

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A cyclic subgroup of a $p$-group

Published on 16 Apr 2026 - 1:08

176

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Every finite group contains a Sylow $p$-subgroup

Published on 14 Apr 2026 - 9:17

98

Views

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

Published on 15 Apr 2026 - 3:16

204

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Quotient of quotient groups and Sylow $p$-subgroups

Published on 13 Apr 2026 - 10:46

167

Views

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

Published on 15 Apr 2026 - 16:37

110

Views

Cardinality of direct product of Sylow $p$-subgroups

Published on 14 Apr 2026 - 14:44

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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