Some 5∕2 transitive permutation groups

Donald Steven Passman

Vol. 28 (1969), No. 1, 157–171

DOI: 10.2140/pjm.1969.28.157

Abstract

In this paper we classify those 5/2-transitive permutation groups G such that G is not a Zassenhaus group and such that the stabilizer of a point in G is solvable. We show in fact that to within a possible finite number of exceptions G is a 2-dimensional projective group.

Mathematical Subject Classification

Primary: 20.20

Milestones

Received: 26 July 1967

Published: 1 January 1969