Exceptional 3∕2-transitive permutation groups

Donald Steven Passman

Vol. 29 (1969), No. 3, 669–713

DOI: 10.2140/pjm.1969.29.669

Abstract

Solvable 3/2-transitive permutation groups were previously classified to within a finite number of exceptions. In this paper the exceptional groups are determined. They have degrees 3², 5², 7², 11², 17² and 3⁴. In addition, these groups are shown to have no transitive extensions.

Mathematical Subject Classification

Primary: 20.20

Milestones

Received: 23 January 1968

Published: 1 June 1969