Vol. 46, No. 1, 1973

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

Peter Lorimer

Vol. 46 (1973), No. 1, 225–230
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
Authors
Peter Lorimer