New posts in Symmetric Groups

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

Subgroup of $S_7$ generated by two permutations

Every permutation is a product of two permutations of order 2

Why are an even number of flips required to get back to the original list?

Show that the permutation $(1 \space 2 \space 3)$ can not be a cube of any element of $S_n.$

Does every automorphism of a permutation group preserve cycle structure?

Is there a synthetic definition of the $0$-Hecke monoid of $S_n$?

Why does $\sum_{\sigma\in S_n}q^{\ell(\sigma)}=\frac{(1-q)(1-q^2)\cdots(1-q^n)}{(1-q)^n}$?

Find the smallest $n$ such that $\mathbb Z_2\times \mathbb Z_2\times \mathbb Z_2$ is isomorphic to a subgroup of $S_n$

Are there any Symmetric Groups that are cyclic?