GROUPS WITH TRIALITY

DOI10.1142/S021949880600182XzbMath1110.20023MaRDI QIDQ5493878

Alexander N. Grishkov, Andrei V. Zavarnitsine

Publication date: 16 October 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Moufang loopsgroups with triality

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Loops, quasigroups (20N05) Automorphisms and endomorphisms of algebraic structures (08A35) Category of groups (20J15)

Related Items (14)

Maximal subloops of finite simple Moufang loops. ⋮ The restricted Burnside problem for Moufang loops ⋮ Co-Moufang deformations of the universal enveloping algebra of the algebra of traceless octonions ⋮ Linear representations of formal loops ⋮ Variety of loops generated by code loops ⋮ Central reflections and nilpotency in exact Mal'tsev categories ⋮ Hopf algebras with triality ⋮ Hopf algebras in non-associative Lie theory ⋮ Multiplication formulas in Moufang loops ⋮ Moufang loops with nonnormal commutative centre ⋮ Sylow's theorem for Moufang loops. ⋮ Moufang Loops and Groups with Triality are Essentially the Same Thing ⋮ Abelian-by-Cyclic Moufang Loops ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

• Unnamed Item
• Some theorems on Moufang loops
• Maximal subloops of finite simple Moufang loops.
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Lie algebras with triality
• Moufang loop multiplication groups with triality
• On loops of odd order. II
• The classification of finite simple Moufang loops
• Simple Moufang loops
• Automorphism groups of simple Moufang loops over perfect fields
• Lagrange's theorem for Moufang loops

This page was built for publication: GROUPS WITH TRIALITY