List questions from symmetric-groups

Published on 17 Mar 2026 - 5:17

275

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Decompose the permutation module $M^{(2, 2)}$ into irreducible representations.

Published on 20 Mar 2026 - 1:15

235

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Determine the group of symmetries, giving a set of generators.

Published on 24 Mar 2026 - 19:08

797

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The number of homomorphisms from $S_5$ to $A_6$

Published on 17 Mar 2026 - 16:31

84

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Find all k, such that $A_{k}= \left \{\sigma ^{k}|\sigma \in S_{n} \right \}$ is a subgroup of $S_{n}$

Published on 07 Feb 2018 - 10:40

738

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Infinite dimensional irreducible complex representations of $S_n$

Published on 17 Mar 2026 - 21:57

523

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Image of Young symmetrizer on tensor product decomposition

Published on 20 Mar 2026 - 13:08

41

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How to express $(142536)$ as string of $(13456)$ and $(132)$ in $S_6$?

Published on 17 Mar 2026 - 20:26

1.3k

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Find the number of permutations of order 2 in symmetric group $S_5$.

Published on 17 Mar 2026 - 20:07

54

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Attribute of the graph of transpositions

Published on 17 Mar 2026 - 2:46

1.6k

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A difficulty in understanding that $A_4$ has no subgroup of order 6.

Published on 18 Feb 2018 - 5:16

529

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Schur polynomials on 1's and -1's

Published on 17 Mar 2026 - 7:14

93

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Proof of $Af = \sum_{\sigma \in S_{k}} (Sgn \sigma) \sigma f$ is an alternating function.

Published on 24 Mar 2026 - 8:13

97

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Rubik's Cube and the symmetric group

Published on 22 Mar 2026 - 6:57

162

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Finding An Inverse Of K-Cycle

Published on 16 Mar 2026 - 23:41

List Question

Determine the existence of $\alpha \in S_{10}$

Decompose the permutation module $M^{(2, 2)}$ into irreducible representations.

Determine the group of symmetries, giving a set of generators.

The number of homomorphisms from $S_5$ to $A_6$

Find all k, such that $A_{k}= \left \{\sigma ^{k}|\sigma \in S_{n} \right \}$ is a subgroup of $S_{n}$

Infinite dimensional irreducible complex representations of $S_n$

Image of Young symmetrizer on tensor product decomposition

How to express $(142536)$ as string of $(13456)$ and $(132)$ in $S_6$?

Find the number of permutations of order 2 in symmetric group $S_5$.

Attribute of the graph of transpositions

A difficulty in understanding that $A_4$ has no subgroup of order 6.

Schur polynomials on 1's and -1's

Proof of $Af = \sum_{\sigma \in S_{k}} (Sgn \sigma) \sigma f$ is an alternating function.

Rubik's Cube and the symmetric group

Finding An Inverse Of K-Cycle

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