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

Published online by Cambridge University Press:  14 November 2011

Alan R. Prince
Alan R. Prince
Affiliation:
Department of Mathematics, Heriot-Watt University, Edinburgh, Scotland
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 94 , Issue 1-2 , 1983 , pp. 89 - 92
Copyright
Copyright © Royal Society of Edinburgh 1983

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References

1Prince, A. R.. Steiner triple systems of order 19 associated with a certain type of projective plane of order 10, to appear.Google Scholar