List questions from symmetric-groups

Published on 24 Jul 2016 - 14:14

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Homomorphism between S4 and A4

Published on 29 Mar 2026 - 1:05

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Every permutation is a product of two permutations of order 2

Published on 26 Jul 2016 - 15:56

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Will $n$ for $A^n=\mathbb{I}$, where $A$ is any finite operation on a finite group and $\mathbb{I}$ is the identity operator, always be finite?

Published on 25 Mar 2026 - 12:28

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Are all sets of $n$, s.t. $R(m)^n=I$, where $R(m)$ is any sequence of $m$ moves on a Rubik's cube and $I$ is the identity operator, known?

Published on 25 Mar 2026 - 12:29

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If $\sigma (1 \cdots n) = (1 \cdots n) \sigma$ then $\sigma = (1 \cdots n)^i$ for certain $i$

Published on 26 Jul 2016 - 22:36

105

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About the notation of composition of permutations in Lang's book

Published on 27 Jul 2016 - 7:08

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Conjugacy classes of even permutation

Published on 29 Jul 2016 - 21:19

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The center of $A_n$ is trivial for $n \geq 4$

Published on 01 Aug 2016 - 22:03

286

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subgroups generators of symmetric group

Published on 02 Aug 2016 - 10:58

74

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A particular generating set of $S_n$

Published on 06 Aug 2016 - 16:00

62

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Proof about symmetric groups and generators

Published on 08 Aug 2016 - 4:41

989

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Prove whether or not a subgroup is normal in the dihedral group $D_4$

Published on 11 Aug 2016 - 22:44

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Why is the symmetric group abelian only when its order is less than or equal to two?

Published on 12 Aug 2016 - 4:49

510

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Subgroups of S4.

Published on 15 Aug 2016 - 20:08

List Question

Why ${S_{n-1}}$ is not a subgroup of ${S_n}$

Homomorphism between S4 and A4

Every permutation is a product of two permutations of order 2

Will $n$ for $A^n=\mathbb{I}$, where $A$ is any finite operation on a finite group and $\mathbb{I}$ is the identity operator, always be finite?

Are all sets of $n$, s.t. $R(m)^n=I$, where $R(m)$ is any sequence of $m$ moves on a Rubik's cube and $I$ is the identity operator, known?

If $\sigma (1 \cdots n) = (1 \cdots n) \sigma$ then $\sigma = (1 \cdots n)^i$ for certain $i$

About the notation of composition of permutations in Lang's book

Conjugacy classes of even permutation

The center of $A_n$ is trivial for $n \geq 4$

subgroups generators of symmetric group

A particular generating set of $S_n$

Proof about symmetric groups and generators

Prove whether or not a subgroup is normal in the dihedral group $D_4$

Why is the symmetric group abelian only when its order is less than or equal to two?

Subgroups of S4.

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