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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Switching sets in $\textrm {PG}(3, q)$
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by A. Bruen and R. Silverman PDF
Proc. Amer. Math. Soc. 43 (1974), 176-180 Request permission

Abstract:

In this note, we are mainly concerned with partial spreads $U,V$ of $PG(3,q)$ which cover the same points and have no line in common. Setting $|U| = |V| = t$, we show that if $t > q + 1$ then $t \geqq \max (q + 2,2q - 2)$. Certain applications of this result to (0, 1) matrices and to translation planes are then discussed.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 176-180
  • MSC: Primary 50D30; Secondary 05BXX
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0333946-8
  • MathSciNet review: 0333946