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Bilinear flocks of quadratic cones

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Abstract

A construction is given which provides infinitely many examples of bilinear flocks of quadratic cones in PG(3,K) whereK is an infinite field. The corresponding translation planes admit SL(2,K) as a collineation group.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Lecce, Via Arnesano, 73100, Lecce, Italy

    Mauro Biliotti

  2. Department of Mathematics, University of Iowa, 52242, Iowa City, Iowa, USA

    Norman L. Johnson

Authors
  1. Mauro Biliotti
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  2. Norman L. Johnson
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Additional information

This article was written while the second author was visiting the University of Lecce during May and June of 1995. The authors gratefully acknowledge the support of the University of Lecce and the C.N.R. The authors would like to thanks for referees for helpful suggestions with the writing of this article.

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Biliotti, M., Johnson, N.L. Bilinear flocks of quadratic cones. J Geom 64, 16–50 (1999). https://doi.org/10.1007/BF01229210

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  • DOI: https://doi.org/10.1007/BF01229210

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