List questions from finite-groups

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Parametrizing a group element

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821

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how to begin self study of computational group theory.

Published on 25 Mar 2026 - 4:57

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A question on $p$-groups, and order of its commutator subgroup.

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Order of Group with Elements of Order 2

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185

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A doubt in M. Hall paper(On the number of Sylow subgroups in a finite group). Please help.

Published on 25 Sep 2014 - 5:57

149

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Generators of $PSL(3,2)$

Published on 25 Sep 2014 - 10:02

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What is known about automorphism group cardinality?

Published on 25 Sep 2014 - 13:36

646

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Alternative to the Frattini argument

Published on 25 Sep 2014 - 15:25

321

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To show from definitions , if $|G|=15$ then $G$ is isomorphic to $\mathbb Z_3 \times \mathbb Z_5$

Published on 25 Sep 2014 - 15:36

128

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If $G=\langle\{a_i\}_{i=1}^r\rangle$ is nilpotent with $|a_i|=m_i$, show that $|G|$ divides a power of $\prod_{i=1}^rm_i$ and is finite.

Published on 25 Mar 2026 - 9:29

498

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Sum of the elements of a cyclic subgroup

Published on 25 Sep 2014 - 23:31

154

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Supersolvable groups of order $pq^m$

Published on 25 Mar 2026 - 19:03

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Equality of subgroups of finite cyclic groups

Published on 29 Mar 2026 - 2:31

263

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Non abelian group of order $p^n$

Published on 25 Mar 2026 - 15:52

List Question

How to find [G:H]?

Parametrizing a group element

how to begin self study of computational group theory.

A question on $p$-groups, and order of its commutator subgroup.

Order of Group with Elements of Order 2

A doubt in M. Hall paper(On the number of Sylow subgroups in a finite group). Please help.

Generators of $PSL(3,2)$

What is known about automorphism group cardinality?

Alternative to the Frattini argument

To show from definitions , if $|G|=15$ then $G$ is isomorphic to $\mathbb Z_3 \times \mathbb Z_5$

If $G=\langle\{a_i\}_{i=1}^r\rangle$ is nilpotent with $|a_i|=m_i$, show that $|G|$ divides a power of $\prod_{i=1}^rm_i$ and is finite.

Sum of the elements of a cyclic subgroup

Supersolvable groups of order $pq^m$

Equality of subgroups of finite cyclic groups

Non abelian group of order $p^n$

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