Generalised n-special characterisation of F_q-conics in the Bruck–Bose representation
Let nnn be a positive integer, let PG(2n,q){\rm PG}(2n,q)PG(2n,q) carry the Bruck–Bose representation of PG(2,qn){\rm PG}(2,q^n)PG(2,qn) with regular (n−1)(n-1)(n−1)-spread S\mathcal SS, and let Nk{\cal N}_kNk be a nor…