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Maximal Strictly Partial Spreads

Published online by Cambridge University Press:  20 November 2018

Gary L. Ebert
Gary L. Ebert*
Affiliation:
Texas Tech University, Lubbock, Texas; University of Delaware, Newark, Delaware
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Let ∑ = PG(3, q) denote 3-dimensional projective space over GF(q). A partial spread of ∑ is a collection W of pairwise skew lines in ∑. W is said to be maximal if it is not properly contained in any other partial spread. If every point of ∑ is contained in some line of W, then W is called a spread. Since every spread of PG(3, q) consists of q2 + 1 lines, the deficiency of a partial spread W is defined to be the number d = q2 + 1 — |W|. A maximal partial spread of ∑ which is not a spread is called a maximal strictly partial spread (msp spread) of ∑.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 3 , 01 June 1978 , pp. 483 - 489
Copyright
Copyright © Canadian Mathematical Society 1978

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