On the nilpotence class of commutative Moufang loops

DOI10.1017/S0305004100055225zbMath0393.20054OpenAlexW2145421374MaRDI QIDQ4175780

Jonathan D. H. Smith

Publication date: 1978

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100055225

zbMATH Keywords

Associator CalculusBruck-Slaby TheoremNilpotence Class of Commutative Moufang Loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (15)

On automorphisms of commutative Moufang loops ⋮ Prime radical of loops and \(\Omega\)-loops. I. ⋮ The module theory of semisymmetric quasigroups, totally symmetric quasigroups, and triple systems ⋮ Involutive automorphisms of finite \(p\)-groups. ⋮ Structure of finitely generated commutative alternative algebras and special Moufang loops. ⋮ Commutator theory for loops. ⋮ Exterior algebra representations of commutative Moufang loops ⋮ Groupes d'automorphismes des boucles de Moufang commutatives ⋮ Quasigroups ⋮ Commutative Moufang loops and alternative algebras. ⋮ Commutative Moufang loops and Bessel functions ⋮ On the Bruck-Slaby theorem for commutative Moufang loops ⋮ Quasigroups and quandles ⋮ Hamiltonian selfdistributive quasigroups. ⋮ Quelques consequences de la locale nilpotence des boucles de moufang commutatives

Cites Work

• An open question concerning Moufang loops

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