List questions from finite-groups

Published on 06 Apr 2026 - 23:36

186

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Finite groups all of whose subgroups are CLT

Published on 26 Mar 2026 - 3:00

52

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prove/disprove: for all odd $n \geq 3$ we have $\sum_{k=1}^{n-1} p_k(n-k) \not \equiv 0\mod n$

Published on 19 May 2020 - 17:45

64

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Elementary proof that an irreducible Brauer character for a non-abelian simple group has degree at least 2

Published on 19 May 2020 - 19:41

109

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$G/F(G)$ is isomorphic to $X_1\times\cdots\times X_t$

Published on 25 Mar 2026 - 8:12

67

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Minimal size of a sumset over $\mathbb{F}_p$

Published on 09 Apr 2026 - 21:00

251

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Normal subgroups from generators

Published on 25 Mar 2026 - 23:16

499

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A $p$-group of exponent $p$

Published on 10 Apr 2026 - 12:55

59

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Order of finite quotients of a group

Published on 26 Mar 2026 - 14:22

470

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Is Aut(G×H) isomorphic to Aut(G) × Aut(H)

Published on 26 Mar 2026 - 17:35

168

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How many involutions does $\Bbb Z/999$ have?

Published on 11 Apr 2026 - 17:15

234

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A simple group with $|\operatorname{Syl}_p⁡ G| \le 6$ is cyclic

Published on 13 Apr 2026 - 13:07

100

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Centraliser in a group extension

Published on 25 Mar 2026 - 12:30

77

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Lemma on induced characters in the representation theory of finite groups

Published on 12 Apr 2026 - 17:53

104

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is there any way to find the maximal length of cycle in a permutation group?

Published on 26 Mar 2026 - 12:37

List Question

Lie algebra representation: canonical projection to isotypic components

Finite groups all of whose subgroups are CLT

prove/disprove: for all odd $n \geq 3$ we have $\sum_{k=1}^{n-1} p_k(n-k) \not \equiv 0\mod n$

Elementary proof that an irreducible Brauer character for a non-abelian simple group has degree at least 2

$G/F(G)$ is isomorphic to $X_1\times\cdots\times X_t$

Minimal size of a sumset over $\mathbb{F}_p$

Normal subgroups from generators

A $p$-group of exponent $p$

Order of finite quotients of a group

Is Aut(G×H) isomorphic to Aut(G) × Aut(H)

How many involutions does $\Bbb Z/999$ have?

A simple group with $|\operatorname{Syl}_p⁡ G| \le 6$ is cyclic

Centraliser in a group extension

Lemma on induced characters in the representation theory of finite groups

is there any way to find the maximal length of cycle in a permutation group?

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