Maximal Strictly Partial Spreads
Canadian journal of mathematics, Tome 30 (1978) no. 3, pp. 483-489

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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 ∑.
Ebert, Gary L. Maximal Strictly Partial Spreads. Canadian journal of mathematics, Tome 30 (1978) no. 3, pp. 483-489. doi: 10.4153/CJM-1978-043-0
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