How often is a permutation an n'th power?
Combinatorics
2007-05-23 v1
Abstract
We give a short argument that for any fixed n, the probability that a permutation on m letters is an n'th power is asymptotically C m^{phi(n)/n - 1}.
Cite
@article{arxiv.math/9712223,
title = {How often is a permutation an n'th power?},
author = {Michael Larsen},
journal= {arXiv preprint arXiv:math/9712223},
year = {2007}
}
Comments
2 pages