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    Prince, A. R. 1986. Steiner triple systems of order 19 associated with a certain type of projective plane of order 10. Periodica Mathematica Hungarica, Vol. 17, Issue. 3, p. 177.


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  • Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Volume 94, Issue 1-2
  • January 1983, pp. 89-92

Steiner triple systems of order 19 constructed from the Steiner triple system of order 9

  • Alan R. Prince (a1)
  • DOI: http://dx.doi.org/10.1017/S0308210500016164
  • Published online: 14 November 2011
Abstract
Synopsis

A standard method of constructing Steiner triple systems of order 19 from the Steiner triple system of order 9 gives rise to 212 different such systems. It is shown that there are just three isomorphism classes amongst these systems. Representatives of each isomorphism class are described and the orders of their automorphism groups are determined.

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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