Finite groups of Lie type of small rank

Frauke M. Bleher

Vol. 187 (1999), No. 2, 215–239

DOI: 10.2140/pjm.1999.187.215

Abstract

In this paper, it is proven that a conjecture of Zassenhaus is valid for all finite simple groups of Lie type of rank 1 and of rank 2 which are not of type ²A₃ or ²A₄. In particular, this conjecture holds for all finite simple groups with abelian Sylow 2–subgroups.

Milestones

Received: 21 August 1997

Revised: 9 February 1998

Published: 1 February 1999