Article

Periodica Mathematica Hungarica

, Volume 17, Issue 3, pp 177-184

First online:

Steiner triple systems of order 19 associated with a certain type of projective plane of order 10

  • A. R. PrinceAffiliated withDepartment of Mathematics, Heriot—Watt University

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Abstract

It is shown that the existence of a Steiner triple system of order 19 satisfying certain very restrictive conditions would lead to the completion of a large portion of the incidence matrix of a projective plane of order 10.

AMS (MOS) subject classifications (1980)

Primary 51E15 Secondary 05B25

Key words and phrases

Finite projective planes Steiner triple systems