List questions from symmetric-groups

Published on 25 Jul 2021 - 11:45

25

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factorization into disjoint r-cycles

Published on 26 Jul 2021 - 15:23

223

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When does a group have a geometric realization?

Published on 26 Jul 2021 - 19:48

193

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Branching rule for $S_n$ proof by James

Published on 25 Mar 2026 - 17:52

126

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Necessary and sufficient conditions for elements of $S_n$ to commute

Published on 01 Aug 2021 - 7:31

34

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What does $O(D)$ mean if $D$ is a congugacy class of $S_n$?

Published on 07 Aug 2021 - 11:42

140

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Show $K＝\{g\in S_4\mid\forall x\in G, (gx)H＝xH\}$ is isomorphic to Klein four group

Published on 07 Aug 2021 - 14:52

250

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Confusion about size of conjugacy class formula in $S_n$

Published on 13 Aug 2021 - 9:09

96

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Let $G=S_5$ be symmetric group. Let $H=\langle(1,2,3)\rangle$ be subgroup of $G$. How many subgroups of $G$ which is conjugate to $H$?

Published on 15 Aug 2021 - 5:37

113

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Maximal Subgroups of $S_n$ with a certain proprety

Published on 25 Mar 2026 - 15:40

394

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Regarding $D_{2m}$ as a subgroup of $S_n$

Published on 29 Mar 2026 - 6:30

99

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Shape whose group of isometries has order 7

Published on 30 Mar 2026 - 17:47

182

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Computing the order of centralizer of $\sigma\in S_n$

Published on 18 Aug 2021 - 17:11

181

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Given $p$ prime and $H\le S_p$ s.t. $|H| = p$, show if $H\subseteq N\subseteq S_p$ for some nilpotent subgroup $N$, then $H=N$

Published on 26 Mar 2026 - 6:32

95

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A question about Fomin's local rules for growth diagrams

Published on 26 Mar 2026 - 0:53

List Question

Intuition behind Cayley theorem

factorization into disjoint r-cycles

When does a group have a geometric realization?

Branching rule for $S_n$ proof by James

Necessary and sufficient conditions for elements of $S_n$ to commute

What does $O(D)$ mean if $D$ is a congugacy class of $S_n$?

Show $K＝\{g\in S_4\mid\forall x\in G, (gx)H＝xH\}$ is isomorphic to Klein four group

Confusion about size of conjugacy class formula in $S_n$

Let $G=S_5$ be symmetric group. Let $H=\langle(1,2,3)\rangle$ be subgroup of $G$. How many subgroups of $G$ which is conjugate to $H$?

Maximal Subgroups of $S_n$ with a certain proprety

Regarding $D_{2m}$ as a subgroup of $S_n$

Shape whose group of isometries has order 7

Computing the order of centralizer of $\sigma\in S_n$

Given $p$ prime and $H\le S_p$ s.t. $|H| = p$, show if $H\subseteq N\subseteq S_p$ for some nilpotent subgroup $N$, then $H=N$

A question about Fomin's local rules for growth diagrams

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