Finding the inverse of an element of $S_n$ and it's order
126025
Computing the inverse of a permutation
3703
Order of finite fields is $p^n$
41731
Question about the order of the product of two elements in an abelian group
67926
$S_n$ is generated by elements of the form $(1k)$
77554
Inverse of the sum of matrices
150156
Proving that $S_n$ has order $n!$
33216
Prove that the order of an element in $S_n$ equals the least common multiple of the lengths of the cycles in its cycle decomposition.
42467
Inverse of an invertible triangular matrix (either upper or lower) is triangular of the same kind
84491
Finding the smallest positive integer $n$ such that $S_n$ contains an element of order 60.
112485
Allowing the zero element in a field to have an inverse
28676
Is a finite group uniquely determined by the orders of its elements?
14383
Order of Permutation : If $\tau \in S_n$ has order $m$, then $\sigma \tau\sigma^{-1}$ has also order $m$.
115236
Calculate the sum of inverse values of ${n\choose 0}, {n\choose 1}, ... {n\choose n}$
113109
Showing that a map is bijective and finding its inverse
124523
Finding an Inverse Function and Composition of Functions?
8742
Examples and further results about the order of the product of two elements in a group
131946
Order of an Element Under a Homomorphism