By taking into account the transformation technique of Quattrocchi and Rosati, we study how to generate transformation systems for an incidence structure by starting from some given generating blocks and by a suitable permutation of the points. Furthermore, the method is applied to obtain the finite Andre planes by means of a minimal set of generating lines of Desarguesian planes.
Transformation systems for incidence structures / Rinaldi, Gloria; L. A., Rosati. - In: EUROPEAN JOURNAL OF COMBINATORICS. - ISSN 0195-6698. - STAMPA. - 20:(1999), pp. 307-312. [10.1006/eujc.1998.0264]
Transformation systems for incidence structures
RINALDI, Gloria;
1999
Abstract
By taking into account the transformation technique of Quattrocchi and Rosati, we study how to generate transformation systems for an incidence structure by starting from some given generating blocks and by a suitable permutation of the points. Furthermore, the method is applied to obtain the finite Andre planes by means of a minimal set of generating lines of Desarguesian planes.
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