A new proof of the Nonsolvable Signalizer Functor Theorem
Group Theory
2016-09-28 v1
Abstract
The Signalizer Functor Method as developed by Gorenstein and Walter played a fundamental role in the first proof of the Classification of the Finite Simple Groups. It plays a similar role in the new proof of the Classification in the Gorenstein-Lyons-Solomon book series. The key results are Glauberman's Solvable Signalizer Functor Theorem and McBride's Nonsolvable Signalizer Functor Theorem. Given their fundamental role, it is desirable to have new and different proofs of them. This is accomplished in {\em A new proof of the Solvable Signalizer Functor Theorem,} P. Flavell, J. Algebra, 398 (2014) 350--363 for Glauberman's Theorem. The purpose of this paper is to give a new proof of McBride's Theorem.
Cite
@article{arxiv.1609.08311,
title = {A new proof of the Nonsolvable Signalizer Functor Theorem},
author = {Paul Flavell},
journal= {arXiv preprint arXiv:1609.08311},
year = {2016}
}