Lower bounds on the maximum dimension of a simple module in characteristic p
Group Theory
2020-08-11 v1 Representation Theory
Abstract
We obtain lower bounds for the maximum dimension of a simple FG-module, where G is a finite group and F is an algebraically closed field of characteristic p. The bounds are described in terms of properties of p-subgroups of G. When p is 2 or p is a Mersenne prime, the bounds take a different form, due to exceptions which arise for such primes.
Cite
@article{arxiv.2008.03490,
title = {Lower bounds on the maximum dimension of a simple module in characteristic p},
author = {Geoffrey R. Robinson},
journal= {arXiv preprint arXiv:2008.03490},
year = {2020}
}
Comments
7 pages