List questions from finite-groups

Published on 26 Mar 2026 - 1:11

73

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Picture class number-order of the simple groups

Published on 26 Mar 2026 - 1:06

56

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Is there some sort of explicit formula for $Cay_n$?

Published on 26 Mar 2026 - 2:54

142

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A Lemma about Sylow Subgroups

Published on 10 Apr 2026 - 17:45

196

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Why are not ALL abelian groups $G\simeq \mathbb Z_{n_1} \times \mathbb Z_{n_2} \times \cdots\times \mathbb Z_{n_s}$ where $|G| = n_1 n_2 \cdots n_s$?

Published on 30 Mar 2026 - 8:36

126

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What is the minimal possible order of an $n$-universal group?

Published on 26 Mar 2026 - 2:55

58

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Show that $\langle x,y,z \rangle$ has order $42$ for $x,y,z$ with given properties

Published on 25 Mar 2026 - 17:20

38

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$k$-generated finite groups as transducer groups for $k$-state transducers

Published on 26 Mar 2026 - 2:58

137

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Simple question about Galois theory

Published on 10 Apr 2026 - 21:47

231

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Regarding existence of Principal Characters for a finite group

Published on 03 Apr 2026 - 15:10

75

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Slight reordering of composition factors in a finite solvable group of order 4 mod 8

Published on 26 Mar 2026 - 1:12

94

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Nonabelian finite $G$ such that $O(g) \subseteq Z(G)g, \forall g \in G$

Published on 28 Mar 2026 - 16:58

77

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Isomorphism of finite groups

Published on 31 Mar 2026 - 23:06

59

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A group with at least $6k$ elements with the property that among any $3k$ of its elements $k$ of them are in $Z(G)$

Published on 30 Mar 2026 - 16:07

422

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Full list of $A_5$ subgroups

Published on 10 Apr 2026 - 1:46

List Question

Existence of groups with prescribed dimensions of irreps

Picture class number-order of the simple groups

Is there some sort of explicit formula for $Cay_n$?

A Lemma about Sylow Subgroups

Why are not ALL abelian groups $G\simeq \mathbb Z_{n_1} \times \mathbb Z_{n_2} \times \cdots\times \mathbb Z_{n_s}$ where $|G| = n_1 n_2 \cdots n_s$?

What is the minimal possible order of an $n$-universal group?

Show that $\langle x,y,z \rangle$ has order $42$ for $x,y,z$ with given properties

$k$-generated finite groups as transducer groups for $k$-state transducers

Simple question about Galois theory

Regarding existence of Principal Characters for a finite group

Slight reordering of composition factors in a finite solvable group of order 4 mod 8

Nonabelian finite $G$ such that $O(g) \subseteq Z(G)g, \forall g \in G$

Isomorphism of finite groups

A group with at least $6k$ elements with the property that among any $3k$ of its elements $k$ of them are in $Z(G)$

Full list of $A_5$ subgroups

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