Point regular groups of automorphisms of generalised quadrangles

  title={Point regular groups of automorphisms of generalised quadrangles},
  author={J. Bamberg and Michael Giudici},
  journal={J. Comb. Theory, Ser. A},
  • J. Bamberg, Michael Giudici
  • Published 2011
  • Mathematics, Computer Science
  • J. Comb. Theory, Ser. A
  • We study the point regular groups of automorphisms of some of the known generalised quadrangles. In particular we determine all point regular groups of automorphisms of the thick classical generalised quadrangles. We also construct point regular groups of automorphisms of the generalised quadrangle of order (q-1,q+1) obtained by Payne derivation from the classical symplectic quadrangle W(3,q). For q=p^f with f>=2 we obtain at least two nonisomorphic groups when p>=5 and at least three… CONTINUE READING
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