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Automorphisms of directed triple systems

Published online by Cambridge University Press:  17 April 2009

Charles J. Colbourn
Charles J. Colbourn
Affiliation:
Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, CanadaN2L 3G1
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Abstract

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The obvious necessary conditions for a triple system of index two having a given automorphism group to underly a directed triple system having the same group are shown to be sufficient. An efficient algorithm for directing the triple system in a way that preserves its group is given. Applications to the existence of directed triple systems with various automorphisms are outlined.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 2 , April 1991 , pp. 257 - 264
Copyright
Copyright © Australian Mathematical Society 1991

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