2-idempotent 3-quasigroups with a conjugate invariant subgroup consisting of a single cycle of length four.

DOI10.1007/s10623-008-9198-2zbMath1185.20060OpenAlexW2088290457MaRDI QIDQ1009021

Lijun Ji

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-008-9198-2

zbMATH Keywords

orthogonal arraysternary quasigroupsquadruple systemsconjugationsgeneralized idempotent law

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Ternary systems (heaps, semiheaps, heapoids, etc.) (20N10)

Related Items

The spectrum of \(G\)-\(\mathrm{OD}_{\lambda }(3,4,v)\) ⋮ The spectrum of 2-idempotent 3-quasigroups with conjugate invariant subgroups

Cites Work

• Existence of Steiner quadruple systems with a spanning block design
• Purely tetrahedral quadruple systems
• A class of three-designs
• On Quadruple Systems
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