List questions from symmetric-groups

Published on 31 Mar 2026 - 10:47

96

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Is there an easy way to find the derived group of $S_5$?

Published on 23 Feb 2026 - 7:46

86

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Subgroups of the symmetry group

Published on 29 Mar 2022 - 2:42

140

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permutation representation of the symmetric group $_$ and its trace

Published on 27 Mar 2026 - 16:54

413

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Trying to understand a proof of Laplace expansion

Published on 07 Apr 2026 - 19:30

40

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Is the conjugacy class of an element in the alternating group equal to that in the symmetric group?

Published on 01 Apr 2022 - 22:11

417

Views

How to construct an injective homomorphism from $GL(2,\mathbb{Z}_2)$ into $S_4$?

Published on 05 Apr 2026 - 7:17

67

Views

Given n, do we have a formula for the greatest Hook number of an n-box Young diagram?

Published on 26 Mar 2026 - 4:14

102

Views

Understanding homomorphism and non-homomorphism from $A_4$ to $S_6$

Published on 05 Apr 2026 - 7:19

128

Views

Why does this Galois Group contain an (n-1)-cycle?

Published on 07 Apr 2022 - 14:28

206

Views

Action on Quotient group

Published on 29 Mar 2026 - 12:23

71

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If $G$ has no subgroup of index $2$ and $G\leq S_n$, then $G \leq A_n$.

Published on 10 Apr 2022 - 10:24

96

Views

Do bitwise rotations and increments modulo $2^n$ generate the symmetric group?

Published on 06 Apr 2026 - 5:53

43

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Show $S_3$ is the semi-direct product of $A_3$ by $H=\{(1),(12)\}$

Published on 01 Apr 2026 - 11:59

320

Views

Prove that there exists finitely many groups of order n.

Published on 17 Apr 2022 - 9:42

List Question

exterior powers of Tensor Product of vector spaces

Is there an easy way to find the derived group of $S_5$?

Subgroups of the symmetry group

permutation representation of the symmetric group $_$ and its trace

Trying to understand a proof of Laplace expansion

Is the conjugacy class of an element in the alternating group equal to that in the symmetric group?

How to construct an injective homomorphism from $GL(2,\mathbb{Z}_2)$ into $S_4$?

Given n, do we have a formula for the greatest Hook number of an n-box Young diagram?

Understanding homomorphism and non-homomorphism from $A_4$ to $S_6$

Why does this Galois Group contain an (n-1)-cycle?

Action on Quotient group

If $G$ has no subgroup of index $2$ and $G\leq S_n$, then $G \leq A_n$.

Do bitwise rotations and increments modulo $2^n$ generate the symmetric group?

Show $S_3$ is the semi-direct product of $A_3$ by $H=\{(1),(12)\}$

Prove that there exists finitely many groups of order n.

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