Finite Zassenhaus Moufang sets with root groups of even order

2010/11/26 by Barbara Baumeister, Baumeister, Barbara, Matthias Grueninger +1
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Finite Group Theory Research #graph theory and CDMA systems #math.GR #msc:20B20 #msc:20E32 #msc:20E42

paper · pdf · doi:10.48550/arxiv.1011.5836

arxiv created 2010/11/26 · arxiv updated 2010/11/29

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 \PSL(2,q) with q a power of 2. 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.

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