Abstract

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).

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