List questions from finite-groups

Published on 25 Mar 2026 - 1:15

592

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Finite abelian groups whose subgroups of the same order are all isomorphic

Published on 25 Mar 2026 - 18:47

54

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Find two finite groups $G_1$ and $G_2$ such as:

Published on 25 Mar 2026 - 6:10

36

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Let $G=\langle (1,2,3,4,5,6,7), (2,4,3,7,5,6) \rangle$

Published on 25 Mar 2026 - 6:10

115

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$H,K \lt G$ with $HK=G$

Published on 03 Aug 2018 - 14:36

4.7k

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Conditions for cyclic quotient group

Published on 25 Mar 2026 - 9:35

1.2k

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Any finite group is a subgroup of an orthogonal group

Published on 03 Aug 2018 - 19:21

291

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Quotient by kernel of a character

Published on 05 Aug 2018 - 0:47

119

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Find maximal permutation group $G$ such that a polynomial is $G$-invariant

Published on 25 Mar 2026 - 12:54

839

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Solutions of the equation $(m! + 2)\sigma(n) = 2n \cdot m!$ where $5 \leq m$

Published on 25 Mar 2026 - 4:40

287

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Classify all groups of order $4165$

Published on 05 Aug 2018 - 21:17

102

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Is there a notion "above" that of perfect numbers?

Published on 22 Mar 2026 - 17:30

57

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Representation of finite groups up to isomorphism.

Published on 24 Mar 2026 - 23:45

249

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A minimal normal subgroup of a $p$-solvable group is either a $p$-group or $p'$-group.

Published on 07 Aug 2018 - 10:56

556

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Do a subgroup and quotient determine the original group?

Published on 08 Aug 2018 - 8:03

List Question

Classifying groups of order 585

Finite abelian groups whose subgroups of the same order are all isomorphic

Find two finite groups $G_1$ and $G_2$ such as:

Let $G=\langle (1,2,3,4,5,6,7), (2,4,3,7,5,6) \rangle$

$H,K \lt G$ with $HK=G$

Conditions for cyclic quotient group

Any finite group is a subgroup of an orthogonal group

Quotient by kernel of a character

Find maximal permutation group $G$ such that a polynomial is $G$-invariant

Solutions of the equation $(m! + 2)\sigma(n) = 2n \cdot m!$ where $5 \leq m$

Classify all groups of order $4165$

Is there a notion "above" that of perfect numbers?

Representation of finite groups up to isomorphism.

A minimal normal subgroup of a $p$-solvable group is either a $p$-group or $p'$-group.

Do a subgroup and quotient determine the original group?

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