Projective Embeddings of Small "Steiner Triple Systems"

Limbos, Monique

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Publication date

January 1980

DOI

10.1016/S0167-5060(08)70179-1

Publisher

Elsevier BV

ISSN

0167-5060

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). © 1980 North-Holland Publishing Company.SCOPUS: ar.kinfo:eu-repo/semantics/publishe