List questions from symmetric-groups

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The number of solutions of equations $x^2=\sigma$ in symmetric groups

Published on 20 May 2018 - 10:14

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Finding a colouring of an octahedron such that the stabilizer is $S_3$, $V_4$ or $A_4$

Published on 21 May 2018 - 14:00

736

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For every integer $n \geq 2$ , there is a unique non-trivial homomorphism $f: {S_n} \to \mathbb{C^*}$.

Published on 22 May 2018 - 12:26

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Let $a$ be a $p$-cycle in $S_p$, and let $b$ be a transposition in $S_p$. Show $S_p$ is generated by $a$ and $b$.

Published on 22 May 2018 - 22:57

284

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Septic polynomials having Galois group $S_7$

Published on 24 May 2018 - 1:30

114

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symmetric polynomials indexed by the partition of zero

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Calculating products of permutations

Published on 26 May 2018 - 5:19

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Plane symmetries of this shape

Published on 26 May 2018 - 18:55

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$G = \langle a, b : a^3 = b^2 = (ab)^3 = e \rangle$. Find the order of G.

Published on 29 May 2018 - 3:21

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Can we restore proper order to $[2, 1, 3, 4, 5, 6, 7, 8, \dotsc]$ via "rotations" ($a, b, c \to b,c,a$)?

Published on 01 Jun 2018 - 20:45

830

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Difference between permutations and a symmetric group

Published on 06 Jun 2018 - 22:52

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How to use Sage to find irreducible representation of symmetric group

Published on 11 Jun 2018 - 2:06

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On the subgroups properties of $A_5$

Published on 25 Mar 2026 - 3:01

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Existence of elements of order $2$ in $S_n$ whose Product has order $n$

Published on 15 Jun 2018 - 19:50

List Question

Young projectors in Fulton and Harris

The number of solutions of equations $x^2=\sigma$ in symmetric groups

Finding a colouring of an octahedron such that the stabilizer is $S_3$, $V_4$ or $A_4$

For every integer $n \geq 2$ , there is a unique non-trivial homomorphism $f: {S_n} \to \mathbb{C^*}$.

Let $a$ be a $p$-cycle in $S_p$, and let $b$ be a transposition in $S_p$. Show $S_p$ is generated by $a$ and $b$.

Septic polynomials having Galois group $S_7$

symmetric polynomials indexed by the partition of zero

Calculating products of permutations

Plane symmetries of this shape

$G = \langle a, b : a^3 = b^2 = (ab)^3 = e \rangle$. Find the order of G.

Can we restore proper order to $[2, 1, 3, 4, 5, 6, 7, 8, \dotsc]$ via "rotations" ($a, b, c \to b,c,a$)?

Difference between permutations and a symmetric group

How to use Sage to find irreducible representation of symmetric group

On the subgroups properties of $A_5$

Existence of elements of order $2$ in $S_n$ whose Product has order $n$

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