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A complex polytope as generalized quadrangle

  • S. G. Hoggar (a1)

Synopsis

We show that the classical generalized quadrangle W(3) is modelled by a complex polytope, and give an explicit embedding in PG(3, 3)

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References

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1Benson, C. T.. On the structure of generalized quadrangles, J. Algebra 15 (1970), 443454.
2Coxeter, H. S. M.. Regular complex polytopes (Cambridge: Cambridge University Press, 1974).
3Coxeter, H. S. M.. The equianharmonic surface and the Hessian polyhedron. Ann. Mat. Pura Appl. (IV)98 (1974), 7792.
4Hoggar, S. G.. t-designs in Delsarte spaces. European J. Combinatorics 3 (1982), 233254.
5Shephard, G. C.. Regular complex polytopes. Proc. London Math. Soc. 2 (1952), 8297.

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