On strong starters in cyclic groups

DOI10.1016/0012-365X(85)90191-8zbMath0578.20014OpenAlexW1981382592MaRDI QIDQ1066268

Douglas R. Stinson, William L. Kocay, Scott A. Vanstone

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(85)90191-8

zbMATH Keywords

automorphism groupscyclic groupsdesignstriple systemsstrong starters

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (8)

Guest editorial: Special issue in honor of Scott A. Vanstone ⋮ Isomorphism of strong starters in cyclic groups ⋮ A note on two orthogonal totally \(C_4\)-free one-factorizations of complete graphs ⋮ A note on strong Skolem starters ⋮ On strong Skolem starters for ℤ_pq ⋮ Orthogonal starters in finite abelian groups ⋮ On the Enumeration of One-Factorizations of Complete Graphs Containing Prescribed Automorphism Groups ⋮ A Kirkman square of order 51 and block size 3

Cites Work

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• The existence of Howell designs of even side
• The spectrum of Room cubes
• A Kirkman square of order 51 and block size 3
• The existence of Howell designs of odd side
• Some new classes of strong starters
• The existence of Room squares
• Sur les systèmes cycliques de triples de Steiner différents pour \(N\) premier (ou puissance de nombre premier) de la forme \(6n+1\). VI
• On Cyclic Steiner 2-Designs
• Every one a Winner or how to Avoid Isomorphism Search when Cataloguing Combinatorial Configurations
• Construction of Room Squares
• An Existence Theorem for Room Squares*

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