List questions from symmetric-groups

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Permutation as a direct sum of irreducibles

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Problem about group homomorphism of symmetric and alternating group?

Published on 02 Apr 2026 - 1:45

490

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Prove that if $d \leq n$, then $S_n$ contains elements of order $d$.

Published on 19 Jun 2017 - 4:14

74

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Conjugacy class of $(12\cdots n)$ in $S_n$.

Published on 19 Jun 2017 - 5:28

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Monomorphism from a group $G$ to a symmetric group $S_q$

Published on 20 Jun 2017 - 9:33

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Conjugate representations in the representation theory of the symmetric groups

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How to count the number of products of disjoint transpositions in $S_5$?

Published on 27 Jun 2017 - 19:37

417

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Sylow $p$-subgroup of $\operatorname{Sym}(p^2)$

Published on 30 Jun 2017 - 6:24

64

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Equivalence of pointwise stabalizer and centralizer

Published on 01 Jul 2017 - 19:43

261

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Spectra of general Cayley Graphs

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Groups as symmetries, and question about Lie groups

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Computing the irreducible characters of $S_n$ for cycles

Published on 03 Jul 2017 - 4:09

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$S_n$ action on the power set of a set with $n - 1$ elements.

Published on 03 Jul 2017 - 15:14

147

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$G$, a subgroup of $S_6$ has an element of order $6$. Prove that $G$ has a normal subgroup $H$ of index 2.

Published on 04 Jul 2017 - 21:59

List Question

Find a combinatorial proof to 10!=7!6!

Permutation as a direct sum of irreducibles

Problem about group homomorphism of symmetric and alternating group?

Prove that if $d \leq n$, then $S_n$ contains elements of order $d$.

Conjugacy class of $(12\cdots n)$ in $S_n$.

Monomorphism from a group $G$ to a symmetric group $S_q$

Conjugate representations in the representation theory of the symmetric groups

How to count the number of products of disjoint transpositions in $S_5$?

Sylow $p$-subgroup of $\operatorname{Sym}(p^2)$

Equivalence of pointwise stabalizer and centralizer

Spectra of general Cayley Graphs

Groups as symmetries, and question about Lie groups

Computing the irreducible characters of $S_n$ for cycles

$S_n$ action on the power set of a set with $n - 1$ elements.

$G$, a subgroup of $S_6$ has an element of order $6$. Prove that $G$ has a normal subgroup $H$ of index 2.

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