Odd Characterizations of Almost Simple Groups (PhD Thesis 2009)
Group Theory
2012-09-26 v1
Abstract
In this PhD thesis we discuss methods of recognizing finite groups by the structure of normalizers of certain 3-subgroups. We explain a method for characterizing groups using character theoretic and block theoretic methods and we use these methods to characterize . Furthermore, we describe a particular hypothesis related to the 3-local structure of finite groups of local characteristic 3 and characterize two almost simple proper extensions of as examples of the local approach to group recognition. We also give a 3-local characterization of the sporadic simple group using local methods whilst applying a character theoretic result.
Cite
@article{arxiv.1209.5542,
title = {Odd Characterizations of Almost Simple Groups (PhD Thesis 2009)},
author = {Sarah Astill},
journal= {arXiv preprint arXiv:1209.5542},
year = {2012}
}