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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

\(101\) Anti-Pasch Steiner Triple Systems of Order \(19\)

T. S. Griggs1, J. P. Murphy1
1Department of Mathematics and Statistics Lancashire Polytechnic Preston PRI 2TQ England
  • Published: 30/04/1993

Abstract

An algorithm to construct anti-Pasch Steiner triple systems is described and utilized to construct \(101\) such systems of order \(19\). It is also proved that no anti-Pasch \(STS(19)\) contains a non-trivial subsystem. Furthermore, anti-Pasch \(STS(19)\)s with prescribed automorphisms are identified.

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Citation
T. S. Griggs, J. P. Murphy. \(101\) Anti-Pasch Steiner Triple Systems of Order \(19\)[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 013. 129-141. DOI: .