Totally conjugate orthogonal quasigroups and complete graphs.

DOI10.1007/s10958-012-0907-zzbMath1257.20067OpenAlexW1990721062MaRDI QIDQ1930192

T. V. Popovich, G. B. Belyavskaya

Publication date: 10 January 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0907-z

zbMATH Keywords

Latin square graphsnumbers of conjugatesconjugate setsspectra of quasigroupstotally conjugate orthogonal quasigroups

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)

Related Items (1)

Construction of medial ternary self-orthogonal quasigroupsm

Cites Work

• Latin squares with pairwise orthogonal conjugates
• On the number of conjugates of a quasigroup
• Conjugate orthogonal quasigroups
• The spectra of a variety of quasigroups and related combinatorial designs
• Latin squares with self-orthogonal conjugates
• Orthogonal latin square graphs
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