List questions from symmetric-groups

Published on 30 Jan 2019 - 16:41

427

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Symmetric group action on polynomial ring

Published on 25 Mar 2026 - 16:08

519

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Visual representations of groups (in their symmetric groups)

Published on 25 Mar 2026 - 10:53

73

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Order of $\alpha=(124)(5439)(328)(1378542)\in S_{10}$

Published on 05 Feb 2019 - 0:15

67

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For which $n\in \Bbb N$ is $H_n:=\{\alpha^2\mid \alpha\in S_n\}\cong A_n?$

Published on 05 Feb 2019 - 18:25

133

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f interchanges $\alpha$ and $\beta$ but fixes $\gamma$ and $\delta$

Published on 05 Feb 2019 - 18:59

528

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Meaning of permutation representation

Published on 06 Feb 2019 - 2:19

104

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For $n>1$, let $H$ be the set of all products in $S_n$ of a multiple of four transpositions. Show $H=A_n$.

Published on 06 Feb 2019 - 18:15

222

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How similar are permutation groups that are isomorphic as abstract groups?

Published on 06 Feb 2019 - 19:38

186

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Is there a name for the quotient of the symmetric group by the finitary symmetric group?

Published on 25 Mar 2026 - 16:13

83

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Number of conjugates of $(12)(34)(56)(789) \in S_{10}$

Published on 08 Feb 2019 - 16:43

972

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Determine the class equation of the tetrahedral group

Published on 11 Feb 2019 - 20:26

1k

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Number of conjugacy classes in permutation group $ S_n $ for some n.

Published on 12 Feb 2019 - 19:37

95

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$S_7$ cannot be written as a union of fewer than $459$ cyclic subgroups.

Published on 13 Feb 2019 - 18:16

53

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Trying to understand a notation $S_{\lambda} w S_{\mu}$.

Published on 14 Feb 2019 - 21:04

List Question

For given permutation, find solutions for $x^3=\sigma\in S_{9}$

Symmetric group action on polynomial ring

Visual representations of groups (in their symmetric groups)

Order of $\alpha=(124)(5439)(328)(1378542)\in S_{10}$

For which $n\in \Bbb N$ is $H_n:=\{\alpha^2\mid \alpha\in S_n\}\cong A_n?$

f interchanges $\alpha$ and $\beta$ but fixes $\gamma$ and $\delta$

Meaning of permutation representation

For $n>1$, let $H$ be the set of all products in $S_n$ of a multiple of four transpositions. Show $H=A_n$.

How similar are permutation groups that are isomorphic as abstract groups?

Is there a name for the quotient of the symmetric group by the finitary symmetric group?

Number of conjugates of $(12)(34)(56)(789) \in S_{10}$

Determine the class equation of the tetrahedral group

Number of conjugacy classes in permutation group $ S_n $ for some n.

$S_7$ cannot be written as a union of fewer than $459$ cyclic subgroups.

Trying to understand a notation $S_{\lambda} w S_{\mu}$.

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