Finite Zassenhaus Moufang sets with root groups of even order
Group Theory
2010-11-29 v1
Abstract
Suzuki classified all Zassenhaus groups of finite odd degree. He showed that such a group is either isomorphic to a Suzuki group or to with a power of . In this paper we give another proof of this result using the language of Moufang sets. More precisely, we show that every Zassenhaus Moufang set having root groups of finite even order is either special and thus isomorphic to the projective line over a finite field of even order or is isomorphic to a Suzuki Moufang set.
Keywords
Cite
@article{arxiv.1011.5836,
title = {Finite Zassenhaus Moufang sets with root groups of even order},
author = {Barbara Baumeister and Matthias Grueninger},
journal= {arXiv preprint arXiv:1011.5836},
year = {2010}
}