Point regular groups of automorphisms of generalised quadrangles

@article{Bamberg2011PointRG,
  title={Point regular groups of automorphisms of generalised quadrangles},
  author={J. Bamberg and Michael Giudici},
  journal={J. Comb. Theory, Ser. A},
  year={2011},
  volume={118},
  pages={1114-1128}
}
  • 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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    References

    SHOWING 1-10 OF 28 REFERENCES
    A generalized quadrangle with an automorphism group acting regularly on the points
    • 12
    Generalized quadrangles admitting a sharply transitive Heisenberg group
    • 8
    Primitive permutation groups with a regular subgroup
    • 11
    • PDF
    Nonisomorphic generalized quadrangles
    • 48
    Generalized Quadrangles with an Abelian Singer Group
    • 15
    Slanted symplectic quadrangles
    • 18
    • PDF