A remark about groups of characteristic 2-type and p-type

Robert L. Griess, Jr.

Vol. 74 (1978), No. 2, 349–355

DOI: 10.2140/pjm.1978.74.349

Abstract

In the work of Klinger and Mason on groups of characteristic 2-type and p-type, a configuration for p = 5 emerges as a possibility in the conclusion to one of their theorems. In this note, we eliminate this possibility. Thus, the evidence that the only simple groups of characteristic 2-type and p-type are G₂(3), P Sp(4,3) and U₄(3) is strengthened.

Mathematical Subject Classification 2000

Primary: 20D20

Milestones

Received: 12 April 1976

Revised: 20 July 1977

Published: 1 February 1978