List questions from finite-groups

Published on 02 Jan 2015 - 19:13

53

Views

$\dim \operatorname{Hom}_{S_n}(\mathbb C [X_l], \mathbb C [X_k])$ is equal to the number of double cosets $P_l \backslash S_n/P_k$

Published on 28 Mar 2026 - 6:41

524

Views

Non-solvable non-simple groups

Published on 03 Oct 2019 - 9:25

90

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Upper bound of group order where $g^3=e \forall g\in G$

Published on 23 Feb 2026 - 17:25

113

Views

Criterion for $PSL(2,q)$

Published on 25 Mar 2026 - 14:21

119

Views

Is there a standard group presentation for the group of units $U(n)$ modulo $n$?

Published on 25 Mar 2026 - 15:52

109

Views

The only conjugacy class of the conjugates of a $\textit{p}$-Sylow subgroup $K$ with a single element is $[K]$.

Published on 27 Mar 2026 - 13:20

115

Views

Normality of the maximal subgroups of the Sylow $p$-subgroups

Published on 27 Mar 2026 - 13:25

45

Views

Do the finite groups of Lie type have infinite analogs?

Published on 25 Mar 2026 - 19:05

105

Views

Nilpotent Group G

Published on 05 Apr 2026 - 16:31

635

Views

All generating sets of $S_3$?

Published on 07 Oct 2019 - 12:05

98

Views

Compute the direct product of two characters in GAP.

Published on 25 Mar 2026 - 22:03

67

Views

For what $n$ and $m$ is $RS(n, m)$ finite?

Published on 26 Mar 2026 - 0:53

483

Views

How associativity holds on set of all bijective functions on a finite set?

Published on 08 Oct 2019 - 15:31

78

Views

Normal Subgroups of index 2

Published on 08 Oct 2019 - 15:46

List Question

Find the number of subgroups of $\mathbb{Z}/(5)\times \mathbb{Z}/(5)$

$\dim \operatorname{Hom}_{S_n}(\mathbb C [X_l], \mathbb C [X_k])$ is equal to the number of double cosets $P_l \backslash S_n/P_k$

Non-solvable non-simple groups

Upper bound of group order where $g^3=e \forall g\in G$

Criterion for $PSL(2,q)$

Is there a standard group presentation for the group of units $U(n)$ modulo $n$?

The only conjugacy class of the conjugates of a $\textit{p}$-Sylow subgroup $K$ with a single element is $[K]$.

Normality of the maximal subgroups of the Sylow $p$-subgroups

Do the finite groups of Lie type have infinite analogs?

Nilpotent Group G

All generating sets of $S_3$?

Compute the direct product of two characters in GAP.

For what $n$ and $m$ is $RS(n, m)$ finite?

How associativity holds on set of all bijective functions on a finite set?

Normal Subgroups of index 2

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