List questions from symmetric-groups

Published on 25 Mar 2026 - 14:03

62

Views

How to know if an automorphism is induced by the normalizer

Published on 25 Mar 2026 - 19:03

101

Views

Can $A_n$ be generated by two elements $x,y$ with $x\ne 1$ arbitrarily chosen?

Published on 27 May 2019 - 5:12

90

Views

Show that if $G \leq S_{n} $ has $r$ orbits when acting on $ \{ 1 , \dots , n \} $, then it is generated by at most $n - r $ elements.

Published on 27 May 2019 - 9:59

263

Views

Example of exotic $S_5$ as a Galois group

Published on 27 May 2019 - 16:35

397

Views

Show than $(1,k+1), (1,2,3,...,n)$ generate the group $S_n$ if and only if $k$ and $n$ are coprime

Published on 25 Mar 2026 - 14:08

161

Views

Counterexample in permutations of $S_A$ with A an infinite set

Published on 03 Jun 2019 - 13:57

372

Views

Does there exist some sort of classification of incompressible groups?

Published on 04 Jun 2019 - 7:50

612

Views

how many abelian transitive subgroups of $S_{n}$

Published on 06 Jun 2019 - 9:11

454

Views

For $n\le4$ is the alternating group $A_n$ simple?

Published on 09 Jun 2019 - 10:25

244

Views

Why does this appear to produce OEIS sequence A263484?

Published on 10 Jun 2019 - 17:25

53

Views

In $\mathbb Z_n$ prove that $\langle h,k\rangle = \langle\gcd(h,k,n)\rangle$

Published on 11 Jun 2019 - 9:47

308

Views

Does $S_{10}$ have a subgroup isomorphic to $\Bbb{Z}/30\Bbb{Z}$?

Published on 13 Jun 2019 - 21:09

53

Views

Naming a "split" subgroup of the symmetric group?

Published on 13 Jun 2019 - 23:31

65

Views

On the symmetric group $\mathrm{S}_n$, prove that $\operatorname{sign}\left(\mathrm{S}_n\right) \subseteq\{ \pm 1\}$

Published on 14 Jun 2019 - 15:38

List Question

Propertie of the shift permutation

How to know if an automorphism is induced by the normalizer

Can $A_n$ be generated by two elements $x,y$ with $x\ne 1$ arbitrarily chosen?

Show that if $G \leq S_{n} $ has $r$ orbits when acting on $ \{ 1 , \dots , n \} $, then it is generated by at most $n - r $ elements.

Example of exotic $S_5$ as a Galois group

Show than $(1,k+1), (1,2,3,...,n)$ generate the group $S_n$ if and only if $k$ and $n$ are coprime

Counterexample in permutations of $S_A$ with A an infinite set

Does there exist some sort of classification of incompressible groups?

how many abelian transitive subgroups of $S_{n}$

For $n\le4$ is the alternating group $A_n$ simple?

Why does this appear to produce OEIS sequence A263484?

In $\mathbb Z_n$ prove that $\langle h,k\rangle = \langle\gcd(h,k,n)\rangle$

Does $S_{10}$ have a subgroup isomorphic to $\Bbb{Z}/30\Bbb{Z}$?

Naming a "split" subgroup of the symmetric group?

On the symmetric group $\mathrm{S}_n$, prove that $\operatorname{sign}\left(\mathrm{S}_n\right) \subseteq\{ \pm 1\}$

Trending Questions

Popular # Hahtags

Popular Questions