Generators of nonassociative simple Moufang loops over finite prime fields

DOI10.1006/jabr.2001.8776zbMath0990.20045arXivmath/0701692OpenAlexW1977896439MaRDI QIDQ5946414

Petr Vojtěchovský

Publication date: 12 August 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701692

zbMATH Keywords

generatorsfinite simple Moufang loopsintegral Cayley numbersnonassociative simple Moufang loopsoctonions

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items

Okubo quasigroups, On subloops of the loop of invertible elements of the split Cayley–Dickson algebra over a field that contain a subloop of transvections, Minimally nonassociative nilpotent Moufang loops., Zorn's Matrices and Finite Index Subloops#, Coxeter–Chein Loops, Unnamed Item, On subloops of the loop of invertible elements in the split Cayley–Dickson algebra over a field

Cites Work

• Integral Cayley numbers
• A Class of Simple Moufang Loops
• The classification of finite simple Moufang loops
• Simple Moufang loops
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