List questions from symmetric-groups

Published on 28 Mar 2026 - 21:50

207

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Transposition as generating $S_n$.

Published on 06 Apr 2015 - 16:18

75

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In the Group $(S_{3},\circ)$, what are the elements of the group $\Big(\big((123)\big), \circ\Big)$?

Published on 10 Apr 2015 - 4:25

496

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Jucys-murphy elements commute with each other.

Published on 11 Apr 2015 - 4:29

39

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Geometric understanding of why $D_1\cong \mathbb{Z}_2$

Published on 12 Apr 2015 - 20:36

89

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Proof the isomorphism between symmetric group & subgroup ?

Published on 12 Apr 2015 - 20:39

126

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How many solutions of equation

Published on 29 Mar 2026 - 2:52

441

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Let $G$ be a finite group, $p$ the smallest prime divisor of $|G|$, and $x\in G$ an element of order $p$.

Published on 17 Apr 2015 - 11:42

354

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Composition of Polynomials and Galois Theory

Published on 19 Apr 2015 - 1:44

755

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Commutators of a symmetric group

Published on 20 Apr 2015 - 22:49

255

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If $\sigma\in S_p$ with $|\sigma| = p$, why is $\sigma$ a $p-$cycle, and why is $|\sigma^r| = p$?

Published on 24 Apr 2015 - 15:14

87

Views

Does every Young diagram have a unique minimal major index?

Published on 25 Mar 2026 - 7:59

67

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Non-existence of $\mathfrak{S}_n \hookrightarrow \mathfrak{A}_{n+1}$.

Published on 28 Apr 2015 - 18:48

230

Views

Generating subgroups of $S_3$

Published on 28 Mar 2026 - 12:13

200

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Are any two elements, of equal length, conjugate in $A_n$ for $n ≥ 3$

Published on 29 Apr 2015 - 13:50

List Question

basis for symmetric square

Transposition as generating $S_n$.

In the Group $(S_{3},\circ)$, what are the elements of the group $\Big(\big((123)\big), \circ\Big)$?

Jucys-murphy elements commute with each other.

Geometric understanding of why $D_1\cong \mathbb{Z}_2$

Proof the isomorphism between symmetric group & subgroup ?

How many solutions of equation

Let $G$ be a finite group, $p$ the smallest prime divisor of $|G|$, and $x\in G$ an element of order $p$.

Composition of Polynomials and Galois Theory

Commutators of a symmetric group

If $\sigma\in S_p$ with $|\sigma| = p$, why is $\sigma$ a $p-$cycle, and why is $|\sigma^r| = p$?

Does every Young diagram have a unique minimal major index?

Non-existence of $\mathfrak{S}_n \hookrightarrow \mathfrak{A}_{n+1}$.

Generating subgroups of $S_3$

Are any two elements, of equal length, conjugate in $A_n$ for $n ≥ 3$

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