Full Embeddings Of The Finite Dual Split Cayley Hexagons

Authors:
A. Thas;H. Van Maldeghem
Affiliations:
Ghent University, Department of Pure Mathematics and Computer Algebra, Galglaan 2, 9000, B-Ghent, Belgium;Ghent University, Department of Pure Mathematics and Computer Algebra, Galglaan 2, 9000, B-Ghent, Belgium
Venue:
Combinatorica
Year:
2004

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Abstract

In this paper we show that, for each prime power q, given an embedding of the finite dual split Cayley hexagon H(q) D in the d-dimensional projective space PG(d, q), d satisfies d ≤ 13. Moreover, if d = 13, then the embedding is unique and we give an explicit description.