User John Shareshian

47 votes

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$n!$ divides a product: Part I

answered Mar 24, 2017 at 12:51

17 votes

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n! divides a product: Part II

answered Mar 24, 2017 at 22:45

17 votes

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The Möbius number of the nonabelian finite simple groups

answered Mar 26, 2017 at 14:07

16 votes

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Dimension of Specht Modules $S^\lambda$

answered Mar 6, 2013 at 4:04

15 votes

No simple groups of order 720?

answered Oct 15, 2010 at 16:19

15 votes

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are irreducible representations with large fixed subspaces trivial?

answered Jan 26, 2011 at 21:11

14 votes

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the number of Sylow subgroups

answered Aug 5, 2013 at 13:35

13 votes

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Transitive subgroup of $S_p$ containing a $p$-cycle and a double transposition

answered May 26, 2013 at 1:58

13 votes

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Groups with maximal element order 6

answered Feb 11, 2021 at 6:17

12 votes

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Isomorphism and number of subgroups

answered Sep 4, 2010 at 17:34

12 votes

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Primitive, non-2-transitive groups with very large orbitals?

answered Mar 29, 2014 at 20:03

11 votes

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Effect on homology of decorating vertices of a simplicial complex

answered Jun 19, 2012 at 12:47

9 votes

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Characteristic subgroups of extra-special p-groups

answered Aug 18, 2012 at 17:29

9 votes

fixed points of permutation groups

answered Sep 20, 2015 at 20:35

8 votes

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Tensor products of permutation representations of symmetric groups.

answered Jun 24, 2011 at 1:39

7 votes

A general formula for the number of conjugacy classes of $\mathbb{S}_n \times \mathbb{S}_n$ acted on by $ \mathbb{S}_n$

answered Oct 16, 2010 at 21:15

7 votes

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Vanishing homology of simplicial complexes with few facets

answered Sep 15, 2014 at 16:47

7 votes

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How to prove that index of second smallest index subgroup in $A_n$ is $n \choose 2$?

answered Jul 2, 2017 at 18:16

7 votes

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A palindromic formula for simple convex polytopes

answered Oct 19 at 8:52

6 votes

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generality of the lattice of normal subgroups

answered Apr 25, 2014 at 0:29

6 votes

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Combinatorial problem in $\mathsf{S}_4$

answered Dec 19, 2020 at 20:16

5 votes

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The zero entries in the character table of a finite group

answered Jun 22, 2020 at 16:25

5 votes

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Is there a maximal subgroup of depth 3?

answered Oct 7, 2018 at 19:35

5 votes

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Generalization of the fundamental theorem of cyclic groups

answered May 7, 2015 at 17:00

5 votes

Field with one element look at counting index-$n$ subgroups in terms of Homs to $S_n$, generalization to $F_{1^k}$?

answered Jul 15, 2017 at 22:33

4 votes

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Existence (or the number) of generating triple of involutions of $\operatorname{PGL}_2(p)$ with some conditions

answered Jun 8, 2020 at 13:07

4 votes

What groups have a second maximal subgroup below exactly four maximal subgroups?

answered May 5, 2011 at 14:29

4 votes

Finite Subgroups of $SL_2(R)$

answered Sep 24, 2012 at 14:53

4 votes

Combinatorial Morse functions and random permutations

answered Nov 20, 2012 at 20:07

3 votes

Help identify this generalized sign of real representations

answered Aug 8, 2013 at 10:53

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41 Answers

$n!$ divides a product: Part I

n! divides a product: Part II

The Möbius number of the nonabelian finite simple groups

Dimension of Specht Modules $S^\lambda$

No simple groups of order 720?

are irreducible representations with large fixed subspaces trivial?

the number of Sylow subgroups

Transitive subgroup of $S_p$ containing a $p$-cycle and a double transposition

Groups with maximal element order 6

Isomorphism and number of subgroups

Primitive, non-2-transitive groups with very large orbitals?

Effect on homology of decorating vertices of a simplicial complex

Characteristic subgroups of extra-special p-groups

fixed points of permutation groups

Tensor products of permutation representations of symmetric groups.

A general formula for the number of conjugacy classes of $\mathbb{S}_n \times \mathbb{S}_n$ acted on by $ \mathbb{S}_n$

Vanishing homology of simplicial complexes with few facets

How to prove that index of second smallest index subgroup in $A_n$ is $n \choose 2$?

A palindromic formula for simple convex polytopes

generality of the lattice of normal subgroups

Combinatorial problem in $\mathsf{S}_4$

The zero entries in the character table of a finite group

Is there a maximal subgroup of depth 3?

Generalization of the fundamental theorem of cyclic groups

Field with one element look at counting index-$n$ subgroups in terms of Homs to $S_n$, generalization to $F_{1^k}$?

Existence (or the number) of generating triple of involutions of $\operatorname{PGL}_2(p)$ with some conditions

What groups have a second maximal subgroup below exactly four maximal subgroups?

Finite Subgroups of $SL_2(R)$

Combinatorial Morse functions and random permutations

Help identify this generalized sign of real representations