**
MATHEMATICA BOHEMICA, Vol. 120, No. 4, pp. 347-366, 1995
**

#
A combinatorial approach to the known

projective planes of order nine

##
Frantisek Knoflicek

* 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

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number] [Journals Homepage]