Regular Article
Transformation Systems for Incidence Structures

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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 André planes by means of a minimal set of generating lines of Desarguesian planes.

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Work performed in the framework of the G.N.S.A.G.A. of the C.N.R. (National Research Council) of Italy and supported by the Ministero per la Ricerca Scientifica e Tecnologica of Italy progetto “Strutture Geometriche, Combinatoria e loco Applicazioni”. Mathematics Subject Classification, 52A01, 20B20.

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