A characterization of exterior lines of certain sets of points in PG (2, q)
Tóm tắt
Let A and B be disjoint sets of points in PG(2, q) the Desarguesian projective plane of order q, with |A|≥q, |B|=q+1, such that each line through a point of A meets B (just once). Then B is a line.
Tài liệu tham khảo
Bruen, A. A. and Thas, J., ‘Flocks, Chains and Configurations in Finite Geometries’, Atti del Acc. Naz. dei Lincei, LIX, (6), 744–748.
Segre, B. and Korchmaros, G., ‘Una proprietà degli insiemi di punti, ecc’, Acc. Naz. dei Lincei, Rend. Sc. fis. Mat. Nat. LXII, Maggio, 1977.