Automorphisms of directed triple systems

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)257-264
Number of pages8
JournalBulletin of the Australian Mathematical Society
Volume43
Issue number2
DOIs
StatePublished - 1991
Externally publishedYes

Fingerprint

Triple System
Automorphisms
Automorphism Group
Efficient Algorithms
Sufficient
Necessary Conditions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Automorphisms of directed triple systems. / Colbourn, Charles.

In: Bulletin of the Australian Mathematical Society, Vol. 43, No. 2, 1991, p. 257-264.

Research output: Contribution to journalArticle

@article{8bcd44c0720a4fe7bea3ce4497731ddd,
title = "Automorphisms of directed triple systems",
abstract = "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.",
author = "Charles Colbourn",
year = "1991",
doi = "10.1017/S0004972700029026",
language = "English (US)",
volume = "43",
pages = "257--264",
journal = "Bulletin of the Australian Mathematical Society",
issn = "0004-9727",
publisher = "Cambridge University Press",
number = "2",

}

TY - JOUR

T1 - Automorphisms of directed triple systems

AU - Colbourn, Charles

PY - 1991

Y1 - 1991

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84971705459&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84971705459&partnerID=8YFLogxK

U2 - 10.1017/S0004972700029026

DO - 10.1017/S0004972700029026

M3 - Article

VL - 43

SP - 257

EP - 264

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

SN - 0004-9727

IS - 2

ER -