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On strong starters in cyclic groups

✍ Scribed by W.L. Kocay; D.R. Stinson; S.A. Vanstone

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
722 KB
Volume
56
Category
Article
ISSN
0012-365X

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✦ Synopsis

Strong starters have been very useful in the construction of Room squares and cubes, Howell designs, Kirkman triple systems and Kirkman squares and cubes. In this paper we investigate various properties of slrong starters in cyclic groups. In particular, we enumerate all nonisomorphic strong starters in cyclic groups of order n for n ~ 23 and all non-equivalent ones of order n for n g 27. We also obtain results on the automorphism groups of the corresponding 1-factorizations and their embeddibility in Kirkman triple systems.

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