Rank 3 permutation characters and maximal subgroups
Group Theory
2011-02-24 v2 Representation Theory
Abstract
In this paper we classify all maximal subgroups M of a nearly simple primitive rank 3 group G of type L=Omega_{2m+1}(3), m > 3; acting on an L-orbit E of non-singular points of the natural module for L such that 1_P^G <=1_M^G where P is a stabilizer of a point in E. This result has an application to the study of minimal genera of algebraic curves which admit group actions.
Cite
@article{arxiv.0912.0873,
title = {Rank 3 permutation characters and maximal subgroups},
author = {Hung P. Tong-Viet},
journal= {arXiv preprint arXiv:0912.0873},
year = {2011}
}
Comments
41 pages, to appear in Forum Mathematicum