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Regular groups on generalized quadrangles and nonabelian difference sets with multiplier -1

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Abstract

This is a first approach to the study of regular generalized quadrangles (i.e. generalized quadrangles with an automorphism group sharply 1-transitive on points). In this paper we point out how the problem is connected to the theory of difference sets with multiplier-1. First, some of the results in [3] on difference sets with multiplier-1 are extended to the nonabelian case; then, these new results on difference sets are used to prove nonexistence theorems for regular GQs of even order s=t.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma ‘La Sapienza’, P.le A. Moro, 2, I-00185, Roma, Italy

    Dina Ghinelli

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  1. Dina Ghinelli
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Dedicated to Otto Wagner on the occasion of his 60th birthday

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Ghinelli, D. Regular groups on generalized quadrangles and nonabelian difference sets with multiplier -1. Geom Dedicata 41, 165–174 (1992). https://doi.org/10.1007/BF00182417

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  • DOI: https://doi.org/10.1007/BF00182417

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