Product rules and classification of nonassociative Moufang loops of order 81

DOI10.1142/S0218196720500186zbMath1455.20036OpenAlexW2992599361MaRDI QIDQ3299595

Wing Loon Chee, Andrew Rajah

Publication date: 24 July 2020

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

Full work available at URL: https://doi.org/10.1142/s0218196720500186

zbMATH Keywords

presentationclassificationgeneratorproduct rulesnonassociative Moufang loop

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Loops, quasigroups (20N05)

Cites Work

• Every Moufang loop of odd order with nontrivial commutant has nontrivial center.
• Moufang loops of odd order \(pq^3\)
• On Moufang loops of odd order \(pq^ 2\)
• On the nuclei of Moufang loops with orders coprime to six.
• The Moufang loops of order 64 and 81.
• Nilpotency conditions for finite loops
• On loops of odd order. II
• The smallest Moufang loop
• Gewebe und Gruppen. (Topologische Fragen der Differentialgeometrie LXV)
• Moufang loops that are almost groups
• Moufang Loops of Small Order. I
• Lagrange's theorem for Moufang loops
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