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Partial parallelisms in finite projective spaces

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Abstract

We show the existence of a parallelism of P−U, where P is a finite projective space and U is a subspace of P with dim P−dim U=2i. As a consequence we prove a lower bound for the maximum number of disjoint spreads of P.

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Authors and Affiliations

  1. Mathematisches Institut, Justus-Liebig-Universität Gießen, Arndtstr.2, D-6300, Gießen, Germany

    Albrecht Beutelspacher

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  1. Albrecht Beutelspacher
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To Helmut Salzmann on the occasion of his 60th birthday

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Beutelspacher, A. Partial parallelisms in finite projective spaces. Geom Dedicata 36, 273–278 (1990). https://doi.org/10.1007/BF00150794

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  • DOI: https://doi.org/10.1007/BF00150794

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