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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Baer Partitions of Small Order Projective Planes

Rudi Mathon 1, Nicholas Hamilton2
1 Department of Computer Science University of Toronto Toronto, Ontario, Canada M5S3G4
2 Department of Mathematics The University of Queensland Queensland, 4072, Australia
  • Published: 28/02/1999

Abstract

The partitions into Baer subplanes of the Desarguesian projective planes of order \(9\), \(16\), and \(25\) are classified by computer. It is also shown that the non-Desarguesian projective planes of order \(9\) and the non-Desarguesian translation planes of order \(16\) and \(25\) do not admit such a partition.

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Citation
Rudi Mathon , Nicholas Hamilton. Baer Partitions of Small Order Projective Planes[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 029. 88-94. DOI: .