List questions from symmetric-groups

Published on 15 Oct 2019 - 18:01

171

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Symmetric Group $S_n$ is generated by transpositions.

Published on 16 Oct 2019 - 12:10

129

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Is any braid group generated by finite "transpositions"?

Published on 26 Mar 2026 - 12:51

188

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transitive G-sets of $S_3$

Published on 16 Oct 2019 - 18:32

140

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Proving an Automorphism of the symmetric group $S_4$ is the identity.

Published on 27 Mar 2026 - 11:48

25

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representation of 1 in the symmetric group by transpositions given a fixed order

Published on 17 Oct 2019 - 18:54

32

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showing x has a power of prime order, Artin A_n is simple proof

Published on 18 Oct 2019 - 1:57

152

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Solving a "twisty puzzle" on $S_{20}$

Published on 18 Oct 2019 - 5:15

98

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Strange algebra question - with permutations.

Published on 25 Mar 2026 - 19:25

55

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How many $g \in S_6$ are there such that $gxg^{-1} =x?$

Published on 23 Feb 2026 - 4:22

27

Views

manipulating equivalence relation on permutations

Published on 24 Oct 2019 - 10:17

504

Views

For which integers $n \ge 3$ is the dihedral group $D_{2n}$ a sub group of $Alt_n$

Published on 26 Mar 2026 - 12:49

357

Views

Finding the order of the rotational symmetry group of a polyhedron

Published on 27 Oct 2019 - 17:33

204

Views

Why the definition of Galois group in rotman’s Advanced modern algebra not considering repeated roots

Published on 23 Feb 2026 - 3:30

96

Views

Show that $\operatorname{sgn}(\sigma^n)=(-1)^n$ for specific permutation in $S_7$.

Published on 28 Oct 2019 - 13:12

List Question

Symmetric groups on an infinite set

Symmetric Group $S_n$ is generated by transpositions.

Is any braid group generated by finite "transpositions"?

transitive G-sets of $S_3$

Proving an Automorphism of the symmetric group $S_4$ is the identity.

representation of 1 in the symmetric group by transpositions given a fixed order

showing x has a power of prime order, Artin A_n is simple proof

Solving a "twisty puzzle" on $S_{20}$

Strange algebra question - with permutations.

How many $g \in S_6$ are there such that $gxg^{-1} =x?$

manipulating equivalence relation on permutations

For which integers $n \ge 3$ is the dihedral group $D_{2n}$ a sub group of $Alt_n$

Finding the order of the rotational symmetry group of a polyhedron

Why the definition of Galois group in rotman’s Advanced modern algebra not considering repeated roots

Show that $\operatorname{sgn}(\sigma^n)=(-1)^n$ for specific permutation in $S_7$.

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