List questions from finite-groups

Published on 25 Mar 2026 - 23:24

800

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What is different between $G/N$ and $GN/N$?

Published on 25 Sep 2018 - 5:19

1.1k

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The order of $Hg\in G/H$ divides the order of $g\in G$ when $H$ is normal in $G$ and $G$ is finite.

Published on 25 Sep 2018 - 8:09

6.8k

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Finding all the subgroups of a cyclic group

Published on 26 Mar 2026 - 19:37

145

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Every finite group has a a sequence of nested subgroups where adjacent elements are normal

Published on 25 Mar 2026 - 9:36

119

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$SS^x = S^x S$ implies that $S$ is subnormal

Published on 26 Sep 2018 - 4:58

202

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Structure of some $\pi$-separable groups

Published on 26 Sep 2018 - 6:51

57

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Linear transformation and minimal polynomial

Published on 26 Sep 2018 - 17:33

78

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Two presentations of a group, one certainly finite. Need the other be?

Published on 25 Mar 2026 - 6:05

847

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Semidirect product command in GAP

Published on 25 Mar 2026 - 5:59

326

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"Tensor complement" of representations of finite groups

Published on 28 Mar 2026 - 6:23

930

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How to show that Group of order $2376$ is not simple

Published on 25 Mar 2026 - 1:37

740

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Ordering finite groups by sum of order of elements

Published on 27 Sep 2018 - 23:42

55

Views

The standard topology on the set of residues modulo n

Published on 28 Sep 2018 - 18:36

66

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Understanding a particular group/semigroup operation

Published on 25 Mar 2026 - 1:21

List Question

Can someone please help me find examples of the following if they exist or not.

What is different between $G/N$ and $GN/N$?

The order of $Hg\in G/H$ divides the order of $g\in G$ when $H$ is normal in $G$ and $G$ is finite.

Finding all the subgroups of a cyclic group

Every finite group has a a sequence of nested subgroups where adjacent elements are normal

$SS^x = S^x S$ implies that $S$ is subnormal

Structure of some $\pi$-separable groups

Linear transformation and minimal polynomial

Two presentations of a group, one certainly finite. Need the other be?

Semidirect product command in GAP

"Tensor complement" of representations of finite groups

How to show that Group of order $2376$ is not simple

Ordering finite groups by sum of order of elements

The standard topology on the set of residues modulo n

Understanding a particular group/semigroup operation

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