Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

Switching sets in $\textrm {PG}(3, q)$


Authors: A. Bruen and R. Silverman
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 50D30, 05BXX

Retrieve articles in all journals with MSC: 50D30, 05BXX


Additional Information

Keywords: Partial spread, replaceable net, embeddable net, regulus, double-six, translation plane, <IMG WIDTH="50" HEIGHT="41" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$(0,1)$"> matrix
Article copyright: © Copyright 1974 American Mathematical Society