Definitions: Cone, Flock, Carrier, Blocking Set, Linear Flock


Corollary 4.1: Any cone, which admits a flock, admits a linear flock.

Pf: If a cone C(V,S) admits a flock, then by Theorem 3.1, the carrier S is not a blocking set in . Thus, there is a line l in which does not intersect S, and hence does not intersect C(V,S). The q planes through l which do not contain V form a linear flock of C(V,S).


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