List questions from finite-groups

Published on 25 Mar 2026 - 13:54

414

Views

Prove that a group is non-cyclic

Published on 26 Mar 2026 - 19:37

167

Views

A question regarding conjugacy classes of central involutions.

Published on 26 Mar 2026 - 23:09

53

Views

Order of a group of matrices

Published on 26 Mar 2026 - 21:26

71

Views

Decomposing $g=xy$ where $\left|g\right|=\left|x\right|{\cdot}\left|y\right|$

Published on 07 Aug 2014 - 18:30

987

Views

A finite divisible group is trivial

Published on 07 Aug 2014 - 20:47

3k

Views

Proving that the intersection of a Sylow p-group with a normal subgroup is also a Sylow p-group

Published on 26 Mar 2026 - 21:27

41

Views

Equality of powers of elements in a subset of a generating set for a finite group.

Published on 09 Aug 2014 - 0:05

120

Views

On finite 2-groups that whose center is not cyclic

Published on 25 Mar 2026 - 14:21

539

Views

Why do we care about simple groups rather than indecomposable groups?

Published on 04 Apr 2026 - 17:36

245

Views

A finite group of order $n$, having a subgroup of order $k$ for each divisor $k$ of $n$, is not simple?

Published on 09 Aug 2014 - 19:14

68

Views

A question on terminology (Group Theory)

Published on 09 Aug 2014 - 22:31

329

Views

Cardinality of Centralizer of some element

Published on 10 Aug 2014 - 7:55

1.9k

Views

Is there any efficient algorithm for finding subgroups of a given finite group?

Published on 25 Mar 2026 - 3:18

2.6k

Views

Elements of finite groups have finite order.

Published on 10 Aug 2014 - 20:38

List Question

Cyclic subgroups of semidirect products

Prove that a group is non-cyclic

A question regarding conjugacy classes of central involutions.

Order of a group of matrices

Decomposing $g=xy$ where $\left|g\right|=\left|x\right|{\cdot}\left|y\right|$

A finite divisible group is trivial

Proving that the intersection of a Sylow p-group with a normal subgroup is also a Sylow p-group

Equality of powers of elements in a subset of a generating set for a finite group.

On finite 2-groups that whose center is not cyclic

Why do we care about simple groups rather than indecomposable groups?

A finite group of order $n$, having a subgroup of order $k$ for each divisor $k$ of $n$, is not simple?

A question on terminology (Group Theory)

Cardinality of Centralizer of some element

Is there any efficient algorithm for finding subgroups of a given finite group?

Elements of finite groups have finite order.

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