Definitions: Flock, Linear Flock, Semi-Field Type Flock

Corollary 11.2.1: If q is a prime, then any semi-field type flock of a non-empty cone is linear.

Pf: If q is a prime, the only additive functions of GF(q) are f(t) = at for any a in GF(q). Thus, by Theorem 11.2.1 [back], a semi-field type flock F would have coordinate functions F(at,t,bt). By Proposition 8.1.6 [back] F is thus a linear flock.

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