**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 , a semi-field type flock F would have coordinate functions F(at,t,bt). By Proposition 8.1.6 F is thus a linear flock.