Frantisek Knoflicek, Department of Mathematics of the Faculty of Mechanical Engineering, Technical University, Technicka 2, 616 69 Brno, Czech Republic
Abstract: A combinatorial characterization of finite projective planes using strongly canonical forms of incidence matrices is presented. The corresponding constructions are applied to known projective planes of order 9. As a result a new description of the Hughes plane of order nine is obtained.
Keywords: finite projective plane, ternary ring, incidence matrix, system of orthogonal Latin squares, Hall plane of order 9, Hughes plane of order 9
Classification (MSC91): 51E15
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