A property of the groups Aut PU(3, q²)

Peter Lorimer

Vol. 46 (1973), No. 1, 225–230

DOI: 10.2140/pjm.1973.46.225

Abstract

The automorphism group AutPU(3,q²) of the projective unitary group PU(3,q²) has a natural doubly transitive representation on q³ + 1 symbols. If this group contained a sharply doubly transitive subset, it would serve to define a projective plane with q³ + 2 points on a line.

However it is the purpose of this note to prove that AutPU(3,q²) does not have such a subset when q > 2.

Mathematical Subject Classification 2000

Primary: 20B20

Milestones

Received: 28 January 1972

Revised: 22 June 1972

Published: 1 May 1973