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Subregular Spreads and Indicator Sets

Published online by Cambridge University Press:  20 November 2018

A. Bruen
A. Bruen*
Affiliation:
University of Western Ontario, London, Ontario
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In a previous paper [3] we introduced indicator sets in order to facilitate the study of partial spreads and spreads in ∑ = PG(3, q). The idea enabled us to disprove a conjecture in the literature by constructing a spread that contained no regulus. More recently there have been some notable advances in the theory of spreads. One such advance is Denniston's theorem that packings of spreads always exist in ∑. This result can be very nicely interpreted in terms of indicator sets [1], Another notable advance is the result on subregular spreads due to W. F. Orr [4; 5] which is discussed below. In this note we develop further some ideas on indicator sets in [3] and then use these results to give an alternative proof of this result of Orr.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 5 , 01 October 1975 , pp. 1141 - 1148
Copyright
Copyright © Canadian Mathematical Society 1975

References

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