List questions from symmetric-groups

Published on 22 Mar 2026 - 8:00

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A "Restricted Sudoku" Symmetry Group Question

Published on 21 Mar 2026 - 10:14

94

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Show, by means of an example, that the group of symmetries of a subset X of a Euclidean space is, in general, smaller than Sym(x).

Published on 22 Mar 2026 - 8:52

291

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Prove that $\sigma$ is a power of $\tau$ when they commute $\sigma\tau=\tau\sigma$.

Published on 19 Mar 2026 - 18:57

930

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Proof verification - the only group of order 24 without normal sylow subgroup is $S_4$.

Published on 17 Mar 2026 - 18:02

48

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Symmetry subgroup of a cube

Published on 20 Mar 2026 - 16:33

76

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Subgroup generated by $S$ is $A_5$

Published on 20 Mar 2026 - 5:17

55

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Question about semigroups of permutations

Published on 19 Mar 2026 - 23:48

708

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Symmetry of the tetrahedron as a subgroup of the cube

Published on 20 Mar 2026 - 7:14

788

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Interpretation of wreath products in general and on symmetric groups

Published on 22 Mar 2026 - 11:32

107

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Two abelian groups $|G| =n $ and $|H|=n$ are isomorphic if and only if they have same number of elements of order $m$,$1\le m\le n$

Published on 19 Mar 2026 - 23:14

369

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Relation between characters of symmetric group and general linear group

Published on 17 Mar 2026 - 23:29

58

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Conjugacy class of an element in $A_n$

Published on 21 Mar 2026 - 16:42

121

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Show whether a subset of $S_3$ is or is not a subgroup

Published on 22 Mar 2026 - 2:35

1.7k

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Why is the symmetry group $S_3$ not the direct product of two nontrivial groups?

Published on 19 Mar 2026 - 20:18

List Question

Orbit counting lemma hexagon

A "Restricted Sudoku" Symmetry Group Question

Show, by means of an example, that the group of symmetries of a subset X of a Euclidean space is, in general, smaller than Sym(x).

Prove that $\sigma$ is a power of $\tau$ when they commute $\sigma\tau=\tau\sigma$.

Proof verification - the only group of order 24 without normal sylow subgroup is $S_4$.

Symmetry subgroup of a cube

Subgroup generated by $S$ is $A_5$

Question about semigroups of permutations

Symmetry of the tetrahedron as a subgroup of the cube

Interpretation of wreath products in general and on symmetric groups

Two abelian groups $|G| =n $ and $|H|=n$ are isomorphic if and only if they have same number of elements of order $m$,$1\le m\le n$

Relation between characters of symmetric group and general linear group

Conjugacy class of an element in $A_n$

Show whether a subset of $S_3$ is or is not a subgroup

Why is the symmetry group $S_3$ not the direct product of two nontrivial groups?

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