The exact number of r-regular elements in finite exceptional groups
Group Theory
2013-01-29 v1
Abstract
We calculate the precise number of r-regular elements in the finite exceptional groups. As a corollary we find that the proportion of r-regular elements is at least 3577/18432 and for all \epsilon>0, there are infinitely finite simple exceptional groups such that the proportion of r-regular elements is less than for some prime r.
Cite
@article{arxiv.1301.6240,
title = {The exact number of r-regular elements in finite exceptional groups},
author = {Simon Guest},
journal= {arXiv preprint arXiv:1301.6240},
year = {2013}
}
Comments
10 pages