No partial 1-spread of class \([0,\geq 2]_ d\) in PG(2d-1,q) exists (Q2640136)

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No partial 1-spread of class \([0,\geq 2]_ d\) in PG(2d-1,q) exists
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    No partial 1-spread of class \([0,\geq 2]_ d\) in PG(2d-1,q) exists (English)
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    1991
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    A partial 1-spread in PG(r,q) is a set of mutually disjoint lines. The class of partial 1-spreads referred to in the title consists of those partial 1-spreads S such that no projective d-space contains exactly one element of S. The main result is stated by the title.
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    partial 1-spread
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    PG(r,q)
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