Linear spaces with significant characteristic prime

Gill, Nick (2006). Linear spaces with significant characteristic prime. Innovations in Incidence Geometry, 3 pp. 109–119.

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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.

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