List questions from finite-groups

Published on 22 Mar 2018 - 3:43

125

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Prove that the only automorphism of order 2 of $\mathbb{Z}_q$ is $m \mapsto -m$ for $q = 3$ and $q = 5$ and $q = 7$

Published on 25 Mar 2026 - 4:44

58

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Old notations in an article

Published on 22 Mar 2018 - 16:45

89

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Why are there only two groups of order 2p for $p=5,7$?

Published on 25 Mar 2026 - 7:47

936

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$G$ is a finite group? How to prove?

Published on 23 Mar 2018 - 0:41

84

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Normal cyclic subgroup in a finite abelian p-group

Published on 23 Mar 2018 - 4:18

427

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"Is Conjugate To A Subgroup Of" in GAP

Published on 25 Mar 2026 - 8:00

292

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Proof verification: In finite abelian groups, any subgroup generated by an element of maximal order is a direct summand.

Published on 25 Mar 2026 - 6:06

347

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Converse Lagrange Theorem for groups with cyclic Sylow subgroups

Published on 24 Mar 2026 - 23:50

115

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Prime ring with identity and finite ideal

Published on 25 Mar 2018 - 15:43

79

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Finite $2$-group with derived subgroup of order 8

Published on 17 Mar 2026 - 13:11

163

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How to prove that $\alpha^p = 1$ using induction?

Published on 26 Mar 2018 - 14:56

306

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How to determine $\prod_{g\in G}g$ in all generality

Published on 26 Mar 2018 - 15:49

230

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What are the graph automorphisms of the Hasse diagram of a (finite) poset?

Published on 25 Mar 2026 - 6:06

288

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Coprime action of simple groups

Published on 25 Mar 2026 - 11:35

List Question

When every minimal subgroup is contained in the center

Prove that the only automorphism of order 2 of $\mathbb{Z}_q$ is $m \mapsto -m$ for $q = 3$ and $q = 5$ and $q = 7$

Old notations in an article

Why are there only two groups of order 2p for $p=5,7$?

$G$ is a finite group? How to prove?

Normal cyclic subgroup in a finite abelian p-group

"Is Conjugate To A Subgroup Of" in GAP

Proof verification: In finite abelian groups, any subgroup generated by an element of maximal order is a direct summand.

Converse Lagrange Theorem for groups with cyclic Sylow subgroups

Prime ring with identity and finite ideal

Finite $2$-group with derived subgroup of order 8

How to prove that $\alpha^p = 1$ using induction?

How to determine $\prod_{g\in G}g$ in all generality

What are the graph automorphisms of the Hasse diagram of a (finite) poset?

Coprime action of simple groups

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