Nonsolvable finite groups all of whose local subgroups are solvable, VI

John Griggs Thompson

Vol. 51 (1974), No. 2, 573–630

DOI: 10.2140/pjm.1974.51.573

Abstract

This is the last paper in this series2 and it contains the analysis of the remaining case, that is, 2 ∈ π₄ and e = 1. As it happens, earlier work on this case was faulty, as I missed the group 2F₄(2) and its simple subgroup of index 2. This lacuna is filled here, and the only change it necessitates in the earlier work is that the Main Theorem needs to be altered by added 2F₄(2)′ to the list of simple N-groups.3

Mathematical Subject Classification 2000

Primary: 20D05

Milestones

Received: 2 November 1972

Published: 1 April 1974