List questions from symmetric-groups

Published on 31 Mar 2021 - 7:00

68

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Conjugacy class size of $S_n$

Published on 01 Apr 2021 - 10:24

227

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Cycle index for $S_2\times S_4$

Published on 27 Mar 2026 - 17:34

194

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Definition of transitive group

Published on 01 Apr 2021 - 22:58

56

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$\operatorname{Out}(S_7)=1$ at work.

Published on 03 Apr 2021 - 13:00

538

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Find the orbit and stabilizer of each element of a set of subgroups

Published on 03 Apr 2021 - 21:08

123

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Prove that for a subgroup $G$ of $S_{13}$, each element can be written as a product of $\sigma^i$ and $\tau^j$.

Published on 07 Apr 2021 - 15:40

239

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How to find generator for intersection of two large subgroups (permutations in $S_{13}$)?

Published on 30 Mar 2026 - 3:01

66

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If $p$ is a prime, then $S_{p-1}$ has no element with order $kp$, $k \in \mathbb{N}$.

Published on 07 Apr 2021 - 22:37

347

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For the symmetric group does a conjugacy class always contain an element and its inverse?

Published on 10 Apr 2021 - 21:30

46

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How do I prove $\textit{V}_\textit{n}$ is irreducible symmetric group representation?

Published on 11 Apr 2021 - 9:54

220

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Isometry of cube in $\mathbb R^4$?

Published on 25 Mar 2026 - 15:49

756

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Isomorphism between any finite group and a subgroup of $S_n$

Published on 12 Apr 2021 - 6:06

29

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is this a primitive action of $\operatorname{Sym}(3)$

Published on 14 Apr 2021 - 7:10

171

Views

How do I find all homomorphisms between $S_3 \to \mathbb{Z}_{15}$?

Published on 29 Mar 2026 - 13:41

List Question

Understanding this proof of $\operatorname{Out}(S_{n\ne 6})=1$.

Conjugacy class size of $S_n$

Cycle index for $S_2\times S_4$

Definition of transitive group

$\operatorname{Out}(S_7)=1$ at work.

Find the orbit and stabilizer of each element of a set of subgroups

Prove that for a subgroup $G$ of $S_{13}$, each element can be written as a product of $\sigma^i$ and $\tau^j$.

How to find generator for intersection of two large subgroups (permutations in $S_{13}$)?

If $p$ is a prime, then $S_{p-1}$ has no element with order $kp$, $k \in \mathbb{N}$.

For the symmetric group does a conjugacy class always contain an element and its inverse?

How do I prove $\textit{V}_\textit{n}$ is irreducible symmetric group representation?

Isometry of cube in $\mathbb R^4$?

Isomorphism between any finite group and a subgroup of $S_n$

is this a primitive action of $\operatorname{Sym}(3)$

How do I find all homomorphisms between $S_3 \to \mathbb{Z}_{15}$?

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