On the existence of ternary quasi-groups with two or eight conjugacy classes

DOI10.1016/0097-3165(80)90009-6zbMath0445.20052OpenAlexW2051358063MaRDI QIDQ1145226

Mary McLeish

Publication date: 1980

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(80)90009-6

zbMATH Keywords

conjugacy classesSteiner quadruple systemsternary quasigroupsconjugate quasigroups

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Loops, quasigroups (20N05) (n)-ary systems ((nge 3)) (20N15)

Related Items (1)

On the spectrum of n quasigroups with given conjugate invariant subgroup

Cites Work

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• On the construction of cyclic quasigroups
• On the number of conjugates of a quasigroup
• Construction of n-cyclic quasi-groups and applications
• Steiner quadruple systems - a survey
• On the Foundations of Quasigroups
• On Quadruple Systems
• Quasigroupes parastrophiques. Expressions et identités
• On the Number of Conjugates of N-Ary Ouasigroups
• Some remarks on the Steiner triple systems associated with Steiner quadruple systems

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