Vol. 3, No. 1, 2006

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Linear spaces with significant characteristic prime

Nick Gill

Vol. 3 (2006), No. 1, 109–119
Abstract

Let G be a group with socle a simple group of Lie type defined over the finite field with q elements where q is a power of the prime p. Suppose that G acts transitively upon the lines of a linear space S. We show that if p is significant then G acts flag-transitively on S and all examples are known.

Keywords
linear space, group of Lie type, line-transitive, parabolic subgroup
Mathematical Subject Classification 2000
Primary: 05B05, 20B25
Milestones
Received: 25 April 2006
Accepted: 24 May 2006
Authors
Nick Gill
Department of Mathematics
University of South Wales
Treforest
CF37 1DL
United Kingdom