Cycle types in $S_n$
13771
Why are two permutations conjugate iff they have the same cycle structure?
107010
How many elements of order $k$ are in $S_n$?
110018
Conjugacy classes in $A_n$.
150719
All nonisomorphic trees of order $n$
103106
Proving that any permutation in $S_n$ can be written as a product of disjoint cycles
114987
How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
125668
A proof that BS(1,2) is not polycyclic
146016
no cycles if and only if has $n-m$ connected components
133270
Prove that the chromatic polynomial of a cycle graph $C_{n}$ equals $(k-1)^{n} + (k-1)(-1)^{n}$
4555
How to write permutations as product of disjoint cycles and transpositions
109245
α² is a cycle if and only if s is odd
145818
Edges on an even number of Hamilton cycles
75461
If $n>m$, then the number of $m$-cycles in $S_n$ is given by $\frac{n(n-1)(n-2)\cdots(n-m+1)}{m}$.
155372
Find the number of permutations in $S_n$ containing fixed elements in one cycle
74580
How to represent a list as a cycle
83872
Isomorphisms for graphs with loops and multiple edges
45314
Conjugacy classes of D2n?