List questions from finite-groups

Published on 28 Mar 2026 - 9:57

52

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“Tensor complement” of representations of finite groups: reloaded

Published on 28 Mar 2026 - 9:55

87

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Identifying result from a Cayley graph in gap

Published on 25 Mar 2026 - 9:24

2.9k

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Proving that if $G$ is a group of order $p^2$ where $p$ is prime, then $G$ is either $\mathbb{Z}_p \times \mathbb{Z}_p$ or $\mathbb{Z}_p$

Published on 13 Oct 2018 - 20:42

113

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Help proving Sylow's Theorem order 58

Published on 25 Mar 2026 - 7:40

885

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Standard representation of $S_n$ is irreducible

Published on 25 Mar 2026 - 23:38

47

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Show that $\operatorname{GL}_2 (\mathbb{F}_3)/\{\pm I_2\} \cong S_4$

Published on 14 Oct 2018 - 15:39

170

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Action of sum of traspositions on a simple $\mathbb{C}[S_n]$-module

Published on 25 Mar 2026 - 23:38

765

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Understanding conjugacy classes in $SL_{2}(\mathbb{F}_{q})$

Published on 14 Oct 2018 - 22:51

50

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Some results given that $|G| = nm$

Published on 26 Mar 2026 - 1:28

92

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Exponent of the group $GL(n,\mathbb F_2)$

Published on 25 Mar 2026 - 22:03

94

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Show that if $n\geq5$, then every element of $S_n$ is a product of 4-cycles.

Published on 25 Mar 2026 - 23:42

79

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Construction of a Finite Abelian Group

Published on 25 Mar 2026 - 12:52

154

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If $G=\{1, a, b, c\}$ is a group and $|g|<4 \forall g\in G$, show the group is abelian.

Published on 15 Oct 2018 - 19:37

106

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Bounds on Size of Join of two Subgroups

Published on 16 Oct 2018 - 0:43

List Question

Sum of values of an irreducible character is non-negative integer

“Tensor complement” of representations of finite groups: reloaded

Identifying result from a Cayley graph in gap

Proving that if $G$ is a group of order $p^2$ where $p$ is prime, then $G$ is either $\mathbb{Z}_p \times \mathbb{Z}_p$ or $\mathbb{Z}_p$

Help proving Sylow's Theorem order 58

Standard representation of $S_n$ is irreducible

Show that $\operatorname{GL}_2 (\mathbb{F}_3)/\{\pm I_2\} \cong S_4$

Action of sum of traspositions on a simple $\mathbb{C}[S_n]$-module

Understanding conjugacy classes in $SL_{2}(\mathbb{F}_{q})$

Some results given that $|G| = nm$

Exponent of the group $GL(n,\mathbb F_2)$

Show that if $n\geq5$, then every element of $S_n$ is a product of 4-cycles.

Construction of a Finite Abelian Group

If $G=\{1, a, b, c\}$ is a group and $|g|<4 \forall g\in G$, show the group is abelian.

Bounds on Size of Join of two Subgroups

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