Vol. 32, No. 3, 1970

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ISSN: 0030-8730
Generalized Sylow tower groups

James B. Derr

Vol. 32 (1970), No. 3, 633–642
Abstract

A well-known theorem of P. Hall states that a finite group G is solvable if, and only if G possesses a complete set of permutable Sylow subgroups. Our goal here is to investigate finite (solvable) groups whose Sylow subgroups are related by a normalizer condition (N). The presence of property (N) for a group G implies that G has slructure similar to a Sylow tower group.

Mathematical Subject Classification
Primary: 20.43
Milestones
Received: 8 May 1969
Published: 1 March 1970
Authors
James B. Derr