Conjugate orthogonal quasigroups

DOI10.1016/0097-3165(78)90074-2zbMath0398.20086OpenAlexW2010559381MaRDI QIDQ1254388

Kevin T. Phelps

Publication date: 1978

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(78)90074-2

zbMATH Keywords

Alpha- Self-Orthogonal QuasigroupConjugate Orthogonal QuasigroupsFinite QuasigroupLatin Square

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)

Related Items (9)

Incomplete conjugate orthogonal idempotent Latin squares ⋮ Some new conjugate orthogonal Latin squares ⋮ Totally conjugate orthogonal quasigroups and complete graphs. ⋮ Enumeration of sets of mutually orthogonal Latin rectangles ⋮ Quasigroups ⋮ Latin squares with pairwise orthogonal conjugates ⋮ Further results on incomplete (3,2,1)-conjugate orthogonal idempotent Latin squares ⋮ The spectra of a variety of quasigroups and related combinatorial designs ⋮ Pairwise balanced designs whose line sizes do not divide six

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combinatorial theory seminar Eindhoven University of Technology
• On the conjugates of an \(n\times 4\) orthogonal array
• Concerning the number of mutually orthogonal latin squares
• Three mutually orthogonal Latin squares
• An existence theory for pairwise balanced designs. II: Structure of PBD- closed sets and the existence conjectures
• On the Foundations of Quasigroups
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• Self-orthogonal latin squares of all orders 𝑛≠2,3,6
• The Generalized Singular Direct Product for Quasigroups

This page was built for publication: Conjugate orthogonal quasigroups