Scattered Spaces with Respect to a Spread in PG(n,q) |
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| Authors: | Aart Blokhuis Michel Lavrauw |
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| Institution: | (1) Technische Universiteit Eindhoven, Postbox 513, 5600 MB Eindhoven, The Netherlands;(2) Division of Mathematics and Computer Science, Vrije Universiteit, de Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands |
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| Abstract: | A scattered subspace of PG(n-1,q) with respect to a (t-1)-spread S is a subspace intersecting every spread element in at most a point. Upper and lower bounds for the dimension of a maximum scattered space are given. In the case of a normal spread new classes of two intersection sets with respect to hyperplanes in a projective space are obtained using scattered spaces. |
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| Keywords: | multiple blocking sets normal spreads two-intersection sets |
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