On permutations of order dividing a given integer

Abstract

We give a detailed analysis of the proportion of elements in the symmetric group on $n$ points whose order divides $m$, for $n$ sufficiently large and $m\ge n$ with $m=O(n)$.

References in corpus (1)

• On the frequency of permutations containing a long cycle

Cited by in corpus (1)

• Permutations With Equal Orders