List questions from finite-groups

Published on 25 Mar 2026 - 14:19

42

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BMO space and representation theory

Published on 12 Apr 2026 - 10:46

2.7k

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Are computer integers a finite group (under addition with overflow)?

Published on 11 Apr 2026 - 13:27

73

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What are the cyclic permutations on four symbols?

Published on 26 Mar 2026 - 16:05

467

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A group of order $pq$

Published on 13 Apr 2026 - 14:24

90

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Normal simple subgroup

Published on 26 Mar 2026 - 8:04

992

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Let p be a prime. If a group has more than $p-1$ elements of order $p$, then prove that the group can't be cyclic.

Published on 30 Mar 2026 - 7:41

801

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If $G$ is an Abelian group and contains cyclic subgroups of order 4 and 6, what other sizes of cyclic group G must contain?

Published on 30 Mar 2026 - 7:42

57

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Order of Group with Quarternionic Type Representation

Published on 13 Apr 2026 - 7:50

51

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$A$ and $B$ are two subnormal $p$-subgroups of $G$, how to show that $\langle A,B\rangle$ is a $p$-subgroup of $G$?

Published on 30 Mar 2026 - 10:41

43

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Can a Hamiltonian cycle of an undirected Cayley graph contain inverses of the generating elements?

Published on 26 Mar 2026 - 0:54

71

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Representing a group as a quotient of a free group

Published on 28 Mar 2026 - 8:36

377

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Groups of units of cyclic groups of order $2^n$

Published on 30 Mar 2026 - 9:42

278

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Matrix of a representation from character theory

Published on 10 Apr 2026 - 18:35

399

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The cyclic subgroups of $p^2$ order non-cyclic group are normal

Published on 25 Mar 2026 - 22:25

List Question

About non-normal nilpotent subgroups

BMO space and representation theory

Are computer integers a finite group (under addition with overflow)?

What are the cyclic permutations on four symbols?

A group of order $pq$

Normal simple subgroup

Let p be a prime. If a group has more than $p-1$ elements of order $p$, then prove that the group can't be cyclic.

If $G$ is an Abelian group and contains cyclic subgroups of order 4 and 6, what other sizes of cyclic group G must contain?

Order of Group with Quarternionic Type Representation

$A$ and $B$ are two subnormal $p$-subgroups of $G$, how to show that $\langle A,B\rangle$ is a $p$-subgroup of $G$?

Can a Hamiltonian cycle of an undirected Cayley graph contain inverses of the generating elements?

Representing a group as a quotient of a free group

Groups of units of cyclic groups of order $2^n$

Matrix of a representation from character theory

The cyclic subgroups of $p^2$ order non-cyclic group are normal

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