On quasigroups satisfying Stein's third law

DOI10.1016/j.disc.2021.112526zbMath1469.05024OpenAlexW3184779609MaRDI QIDQ2043395

Andrew R. Kozlik, Terry S. Griggs

Publication date: 2 August 2021

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

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112526

zbMATH Keywords

idempotentquasigroupperfect Mendelsohn designStein's third law

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)

Uses Software

• Mace4

Cites Work

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• Quasigroups satisfying Stein's third law with a specified number of idempotents
• Incomplete perfect mendelsohn designs with block size 4 and holes of size 2 and 3

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