English

Generalised quadrangles with a group of automorphisms acting primitively on points and lines

Combinatorics 2012-06-26 v1

Abstract

We show that if G is a group of automorphisms of a thick finite generalised quadrangle Q acting primitively on both the points and lines of Q, then G is almost simple. Moreover, if G is also flag-transitive then G is of Lie type.

Keywords

Cite

@article{arxiv.1107.3909,
  title  = {Generalised quadrangles with a group of automorphisms acting primitively on points and lines},
  author = {John Bamberg and Michael Giudici and Joy Morris and Gordon F. Royle and Pablo Spiga},
  journal= {arXiv preprint arXiv:1107.3909},
  year   = {2012}
}

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20 pages