Cycle indices for the finite classical groups
Group Theory
2007-05-23 v1 Combinatorics
Abstract
This paper defines and develops cycle indices for the finite classical groups. These tools are then applied to study properties of a random matrix chosen uniformly from one of these groups. Properties studied by this technique will include semisimplicity, regularity, regular semisimplicity, the characteristic polynomial, number of Jordan blocks, and average order of a matrix.
Cite
@article{arxiv.math/9712239,
title = {Cycle indices for the finite classical groups},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:math/9712239},
year = {2007}
}
Comments
35 pages