Question

Proving/Disproving (via formal proof) that the Alternating group $A_n$ is a subgroup of the Symmetric group $S_n$

score 700 · Answer 1 · 2020-04-28 21:42:09

700

Views

Proving/Disproving (via formal proof) that the Alternating group $A_n$ is a subgroup of the Symmetric group $S_n$

Published on 28 Apr 2020 - 21:42

score 118 · Answer 2 · 2020-04-30 21:06:40

118

Views

Find cosets of $H$ in $G$

Published on 30 Apr 2020 - 21:06

score 152 · Answer 3 · 2020-05-01 09:20:45

152

Views

How to find a particular element of $S_n$ that conjugates one subgroup to another

Published on 01 May 2020 - 9:20

score 47 · Answer 4 · 2026-03-27 14:02:19

47

Views

What is the asymptotics of $gf_2(S_n)$?

Published on 27 Mar 2026 - 14:02

score 39 · Answer 5 · 2020-05-05 10:55:57

39

Views

symmetric group - elements with an specific order

Published on 05 May 2020 - 10:55

score 200 · Answer 6 · 2026-03-25 09:48:47

200

Views

Matrices that commute with Elements from the Symmetric-Group and the Hyperoctahedral Group

Published on 25 Mar 2026 - 9:48

score 22 · Answer 7 · 2020-05-05 14:32:59

With $H = \langle(2\, 1\, 3\, 4\, 5\, 6)(7\, 8\, 10\, 9)\rangle\le S_{10}$, how do I know if $(7\, 8)H$ and $(8\, 10\, 9)H$ are equal?

score 247 · Answer 8 · 2020-05-05 16:49:44

247

Views

symmetric groups and cyclic groups

Published on 05 May 2020 - 16:49

score 121 · Answer 9 · 2020-05-05 21:21:36

121

Views

The 5 dimensional irreducible representation of $A_5$

Published on 05 May 2020 - 21:21

score 984 · Answer 10 · 2026-03-28 12:58:46

984

Views

The only surjective homomorphism from $S_n$ to $\{1,-1\}$ is $\text{sign}$

Published on 28 Mar 2026 - 12:58

score 209 · Answer 11 · 2026-03-25 04:36:21

209

Views

What does "orientation" of a platonic solid really mean?

Published on 25 Mar 2026 - 4:36

score 98 · Answer 12 · 2020-05-08 16:29:22

98

Views

Explicit formula for a homomorphism $\varphi: D_4\rightarrow \mathbb{Z}_2\times\mathbb{Z}_2$

Published on 08 May 2020 - 16:29

score 810 · Answer 13 · 2020-05-08 18:25:14

810

Views

Invariant subspace and the irreducibility of a representation.

Published on 08 May 2020 - 18:25

score 1.1k · Answer 14 · 2020-05-10 06:22:26

1.1k

Views

No subgroup of order $8 $ in $S_5$ is abelian..True or False??

Published on 10 May 2020 - 6:22

score 93 · Answer 15 · 2026-03-26 04:34:55

93

Views

Let be $A_n$ the alternating group $n\geq 5$. How to prove that $\operatorname{Stab}_{A_n}(x) \cong A_{n-1}$, for all $x \in \{1, ..., n\}$?

Published on 26 Mar 2026 - 4:34

List Question

Proving/Disproving (via formal proof) that the Alternating group $A_n$ is a subgroup of the Symmetric group $S_n$

Find cosets of $H$ in $G$

How to find a particular element of $S_n$ that conjugates one subgroup to another

What is the asymptotics of $gf_2(S_n)$?

symmetric group - elements with an specific order

Matrices that commute with Elements from the Symmetric-Group and the Hyperoctahedral Group

With $H = \langle(2\, 1\, 3\, 4\, 5\, 6)(7\, 8\, 10\, 9)\rangle\le S_{10}$, how do I know if $(7\, 8)H$ and $(8\, 10\, 9)H$ are equal?

symmetric groups and cyclic groups

The 5 dimensional irreducible representation of $A_5$

The only surjective homomorphism from $S_n$ to $\{1,-1\}$ is $\text{sign}$

What does "orientation" of a platonic solid really mean?

Explicit formula for a homomorphism $\varphi: D_4\rightarrow \mathbb{Z}_2\times\mathbb{Z}_2$

Invariant subspace and the irreducibility of a representation.

No subgroup of order $8 $ in $S_5$ is abelian..True or False??

Let be $A_n$ the alternating group $n\geq 5$. How to prove that $\operatorname{Stab}_{A_n}(x) \cong A_{n-1}$, for all $x \in \{1, ..., n\}$?

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