Power series coefficients for probabilities in finite classical groups
Group Theory
2007-05-23 v1 Combinatorics
Abstract
It is shown that a wide range of probabilities and limiting probabilities in finite classical groups have integral coefficients when expanded as a power series in 1/q. Moreover it is proved that the coefficients of the limiting probabilities in the general linear and unitary cases are equal modulo 2. The rate of stabilization of the finite dimensional coefficients as the dimension increases is discussed.
Cite
@article{arxiv.math/0511390,
title = {Power series coefficients for probabilities in finite classical groups},
author = {John R. Britnell and Jason Fulman},
journal= {arXiv preprint arXiv:math/0511390},
year = {2007}
}
Comments
34 pages