Weakly closed direct factors of Sylow subgroups

George Isaac Glauberman and John Griggs Thompson

Vol. 26 (1968), No. 1, 73–83

DOI: 10.2140/pjm.1968.26.73

Abstract

In many finite classical linear groups and permutation groups, certain Sylow subgroups have weakly closed direct factors. In this paper we establish a sufficient condition for this to occur in arbitrary finite groups.

Mathematical Subject Classification

Primary: 20.25

Milestones

Received: 12 May 1967

Published: 1 July 1968