List questions from symmetric-groups

Published on 26 Mar 2026 - 16:09

24

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question about permutations with a combinatorial approach to solving

Published on 26 Mar 2026 - 4:49

44

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On transitivity of a product of groups

Published on 28 Jan 2020 - 21:54

100

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What symmetry corresponds to the square of a complex number, as opposed to the norm?

Published on 30 Jan 2020 - 16:07

625

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All homomorphisms from $K_4$ to $S_3$

Published on 28 Mar 2026 - 4:34

55

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Invariance group of orthogonal complex numbers

Published on 04 Feb 2020 - 14:44

971

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In how many ways can a permutation cycle be decomposed as a product of transpositions?

Published on 26 Mar 2026 - 6:31

538

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Large subgroups of Symmetric Group

Published on 26 Mar 2026 - 4:32

148

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Determining the no. of equivalence classes in a collection of subgroups of $S_{5} $

Published on 07 Feb 2020 - 12:20

149

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Find the number of cosets of $S_{n-1}$ in $S_n$

Published on 26 Mar 2026 - 11:01

53

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Image of an involution under Cayley action in $A_n$

Published on 26 Mar 2026 - 6:28

82

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Checking a normal subgroup of $S_4$

Published on 11 Feb 2020 - 16:28

163

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Given $G:=S_7,M:=\{1,...,7\},g:=(1\, 3\, 6)\cdot(3\, 5),x := 5,$ calculate $g\cdot x$.

Published on 26 Mar 2026 - 8:23

55

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how does one decompose the defining permutation representation of the symmetric group into irreducible representations?

Published on 13 Feb 2020 - 2:27

410

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$S_7$ is isomorphic to subgroup of all those elements of of $S_8$ that sends $8$ to $8$

Published on 28 Mar 2026 - 4:35

List Question

Why isn't $D_3 \times \mathbb Z_{10} \cong D_{10} \times \mathbb Z_3?$

question about permutations with a combinatorial approach to solving

On transitivity of a product of groups

What symmetry corresponds to the square of a complex number, as opposed to the norm?

All homomorphisms from $K_4$ to $S_3$

Invariance group of orthogonal complex numbers

In how many ways can a permutation cycle be decomposed as a product of transpositions?

Large subgroups of Symmetric Group

Determining the no. of equivalence classes in a collection of subgroups of $S_{5} $

Find the number of cosets of $S_{n-1}$ in $S_n$

Image of an involution under Cayley action in $A_n$

Checking a normal subgroup of $S_4$

Given $G:=S_7,M:=\{1,...,7\},g:=(1\, 3\, 6)\cdot(3\, 5),x := 5,$ calculate $g\cdot x$.

how does one decompose the defining permutation representation of the symmetric group into irreducible representations?

$S_7$ is isomorphic to subgroup of all those elements of of $S_8$ that sends $8$ to $8$

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