Two theorems on groups of characteristic 2-type

Geoffrey Mason

Vol. 57 (1975), No. 1, 233–253

DOI: 10.2140/pjm.1975.57.233

Abstract

D. Gorenstein has made the following conjecture: suppose that G is a finite simple group which is simultaneously of characteristic 2-type and characteristic 3-type. Then G is isomorphic to one of PSp(4,3),G₂(3) or U₄(3). In this paper, we prove two results which, taken together, yield a proof of this conjecture under the additional assumption that G has 2-local 3-rank at least 2.

Mathematical Subject Classification 2000

Primary: 20D05

Milestones

Received: 13 September 1974

Published: 1 March 1975