Congugacy in $S_n$ splits in $A_n$
97865
On Conjugacy Classes of Alternating Group $A_n$
112486
Bounds on a sum of gcd's
91772
Proving that $A_n$ is the only proper nontrivial normal subgroup of $S_n$, $n\geq 5$
2235
Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
12459
Associativity of symmetric difference of sets
88181
Splitting field of $X^n-a$
137691
What are the self-normalizing subgroups of $S_n$?
151520
About the parity of the product $(a_1-1)(a_2-2)\cdots(a_n-n)$
56370
Associative operation on a set $S$
62175
A general formula for $n$ distinguishable arrangements of length $\ell$ of a sequence of a given size?
155372
Find the number of permutations in $S_n$ containing fixed elements in one cycle
148413
Proving $S_n$ is generated by the set $\{(1\text{ }2),(2\text{ }3),\cdots,(n-1\text{ }n)\}$ of $n-1$ transpositions.
42780
Show that if $a^{n-1} \equiv 1 \pmod{n}$ for all $a$ such that $\gcd(n,a) = 1$, then $a^{n} \equiv a \pmod{n}$ for all $a$.
107010
How many elements of order $k$ are in $S_n$?
48452
Proof that $\gcd$ divides $\operatorname{lcm}$
24561
$\mathbb S_n$ as semidirect product
64582
Group covered by finitely many cosets