Loops with exponent three in all isotopes

DOI10.1142/S0218196715500356zbMath1337.20075arXiv1103.0054OpenAlexW2964332984MaRDI QIDQ3466809

Ian M. Wanless, Michael K. Kinyon

Publication date: 25 January 2016

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0054

zbMATH Keywords

Latin squaresquasigroupsfinite loopsloop isotopesvan Rees loops

Mathematics Subject Classification ID

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

Related Items

Bounds on the number of small Latin subsquares ⋮ An isotopically invariant property of automorphic Moufang loops

Uses Software

• GAP
• Prover9
• Mace4
• LOOPS

Cites Work

• Perfect factorisations of bipartite graphs and Latin squares without proper subrectangles
• New families of atomic Latin squares and perfect 1-factorisations.
• Atomic Latin squares based on cyclotomic orthomorphisms
• Completions of ε-Dense Partial Latin Squares
• Overlapping latin subsquares and full products
• On nondistributive Steiner quasigroups
• UNIQUELY 2-DIVISIBLE BOL LOOPS
• A Search for Projective Planes of a Special Type with the Aid of a Digital Computer
• On Groups with Two Triply Transitive Permutation Representations
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