Transitive steiner and kirkman triple systems of order 27

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

doi:10.1090/S0025-5718-1992-1106962-5

Transitive steiner and kirkman triple systems of order 27

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

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English (US)
Pages (from-to)	441-450
Number of pages	10
Journal	Mathematics of Computation
Volume	58
Issue number	197
DOIs	https://doi.org/10.1090/S0025-5718-1992-1106962-5
State	Published - Jan 1992
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1992-1106962-5

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title = "Transitive steiner and kirkman triple systems of order 27",

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.",

author = "Colbourn, {Charles J.} and Magliveras, {Spyros S.} and Mathon, {Rudolf A.}",

year = "1992",

month = jan,

doi = "10.1090/S0025-5718-1992-1106962-5",

language = "English (US)",

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T1 - Transitive steiner and kirkman triple systems of order 27

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AU - Magliveras, Spyros S.

AU - Mathon, Rudolf A.

PY - 1992/1

Y1 - 1992/1

N2 - 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.

AB - 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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VL - 58

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EP - 450

JO - Mathematics of Computation

JF - Mathematics of Computation

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