Vol. 26, No. 1, 1968

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Weakly closed direct factors of Sylow subgroups

George Isaac Glauberman and John Griggs Thompson

Vol. 26 (1968), No. 1, 73–83
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
Authors
George Isaac Glauberman
John Griggs Thompson