List questions from symmetric-groups

Published on 13 May 2020 - 9:30

179

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Decomposing into irreducible $S_n$ modules, aka Specht modules.

Published on 25 Mar 2026 - 12:31

189

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Number of group homomorphism from $ \mathbb{Z}_{2} * \mathbb{Z}_{2} \to D_{8}$.

Published on 14 May 2020 - 16:00

39

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write down all the permutations of the set {1,2,3} using two-line notation

Published on 15 May 2020 - 0:04

36

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For every $H \subset \operatorname{Gal}(E / \mathbb{Q})$ find the fixed field $E^H$

Published on 28 Mar 2026 - 20:13

64

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Rank-4 tensor and $S_4$

Published on 15 May 2020 - 15:57

83

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Combinatorics for exterior power for arbitrary Specht module

Published on 25 Mar 2026 - 10:58

113

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Example of dihedral groups with same order

Published on 26 Mar 2026 - 17:43

398

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Generators of the symmetric group $S_n$ [transpositions]

Published on 18 May 2020 - 11:15

81

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Is there any element of order $420$ in the symmetric group $S_{19}$?

Published on 18 May 2020 - 21:41

255

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What are some nice informations about the dihedral groups,alternating groups,symmetric groups.

Published on 26 Mar 2026 - 17:47

353

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Need help understanding matrix representations of the symmetric group $S_3$.

Published on 19 May 2020 - 18:44

44

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Symmetries of Rotation matrices

Published on 20 May 2020 - 13:45

74

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How do I show two pairs of elements of $S_n$ are conjugate by the same element?

Published on 26 May 2020 - 3:13

48

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Writing explicitly $(s^2-1)^2+(t^2-1)^2$ as a polynomial in $st$ and $s+t$?

Published on 25 Mar 2026 - 19:05

List Question

Elements of an specific order in a non cyclic non abelian group

Decomposing into irreducible $S_n$ modules, aka Specht modules.

Number of group homomorphism from $ \mathbb{Z}_{2} * \mathbb{Z}_{2} \to D_{8}$.

write down all the permutations of the set {1,2,3} using two-line notation

For every $H \subset \operatorname{Gal}(E / \mathbb{Q})$ find the fixed field $E^H$

Rank-4 tensor and $S_4$

Combinatorics for exterior power for arbitrary Specht module

Example of dihedral groups with same order

Generators of the symmetric group $S_n$ [transpositions]

Is there any element of order $420$ in the symmetric group $S_{19}$?

What are some nice informations about the dihedral groups,alternating groups,symmetric groups.

Need help understanding matrix representations of the symmetric group $S_3$.

Symmetries of Rotation matrices

How do I show two pairs of elements of $S_n$ are conjugate by the same element?

Writing explicitly $(s^2-1)^2+(t^2-1)^2$ as a polynomial in $st$ and $s+t$?

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