Nonsolvable finite groups all of whose local subgroups are solvable. II

John Griggs Thompson

Vol. 33 (1970), No. 2, 451–536

DOI: 10.2140/pjm.1970.33.451

Abstract

In this second paper, the bulk of the work is devoted to characterizing E₂(3) and S₄(3). These two groups are “almost” N-groups and it is relevant to treat them separately. The actual characterizations (Theorems 8.1 and 9.1) are very technical but the hypotheses deal with the structure and embedding in a simple group of certain {2, 3}-subgroups.

Mathematical Subject Classification

Primary: 20.29

Milestones

Received: 23 October 1964

Revised: 8 August 1969

Published: 1 May 1970