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Transitive Steiner and Kirkman triple systems of order 27

Charles J. Colbourn, Spyros S. Magliveras, Rudolf A. Mathon

Source record

Source: Crossref

Published: Jan 1, 1992

DOI: 10.1090/s0025-5718-1992-1106962-5

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Source abstract

There are 71 Steiner triple systems of order 27 whose automorphism groups are point-transitive, and there are 248 transitive Kirkman triple systems of order 27. Computational methods used to find these designs are outlined. The designs and some of their properties are presented.

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Transitive Steiner and Kirkman triple systems of order 27 — Mathematical Frontier Network