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Projective Embeddings of Small "Steiner Triple Systems"

par Limbos, Monique
Référence Annals of discrete mathematics, 7, C, page (151-173)
Publication Publié, 1980

Article révisé par les pairs

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Résumé :

A Steiner triple system S is embeddable in a finite Desarguesian projective plane P if there exists a subset S' of P such that S' provided with the restrictions of the lines of P is a Steincr triple system isomorphic to S. In this note we show that among the two systems of cardinality 13 and the eighty systems of cardinality 15, only one is embeddable in a finite Desarguesian projective plane, namely the 3-dimensional projective space over GF(2). © 1980 North-Holland Publishing Company.