Generalized Sylow tower groups

James B. Derr

Vol. 32 (1970), No. 3, 633–642

DOI: 10.2140/pjm.1970.32.633

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