Quasigroups satisfying Stein's third law with a specified number of idempotents

DOI10.1016/J.DISC.2012.08.013zbMath1254.05030OpenAlexW2062166560MaRDI QIDQ1759401

Frank E. Bennett, Han-Tao Zhang

Publication date: 20 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.disc.2012.08.013

zbMATH Keywords

orthogonal arraysperfect Mendelsohn designsHoley perfect Mendelsohn designsnumber of idempotent elementsStein quasigroups

Mathematics Subject Classification ID

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

Related Items (1)

On quasigroups satisfying Stein's third law

Cites Work

• Group divisible designs with block-size four
• Quasigroups and tactical systems
• Existence of frame SOLS of type \(a^n b^1\)
• Incomplete perfect Mendelsohn designs with block size four
• The spectra of a variety of quasigroups and related combinatorial designs
• On the Foundations of Quasigroups
• The Spectra for the Conjugate Invariant Subgroups of n² × 4 Orthogonal Arrays
• Perfect Mendelsohn designs with equal-sized holes and block size four
• Incomplete perfect mendelsohn designs with block size 4 and one hole of size 7
• Incomplete perfect mendelsohn designs with block size 4 and holes of size 2 and 3
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