Automorphically-invariant ideals satisfying multilinear identities, and group-theoretic applications

DOI10.1016/j.jalgebra.2008.03.004zbMath1163.17002OpenAlexW2022902836MaRDI QIDQ948729

Natalia Yu. Makarenko, Eugenii I. Khukhro

Publication date: 17 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.03.004

zbMATH Keywords

automorphismrankidealLie ringnilpotentnonassociative algebramultilinear identitylocally nilpotent torsion-free group

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Nilpotent groups (20F18) Nonassociative algebras satisfying other identities (17A30)

Related Items (3)

ON CERTAIN APPLICATIONS OF THE KHUKHRO–MAKARENKO THEOREM ⋮ Invariant systems of representatives, or the cost of symmetry ⋮ Large and symmetric: the Khukhro-Makarenko theorem on laws -- without laws.

Cites Work

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• Almost solubility of Lie algebras with almost regular automorphisms
• Finite groups with an almost regular automorphism of order four
• CHARACTERISTIC NILPOTENT SUBGROUPS OF BOUNDED CO-RANK AND AUTOMORPHICALLY INVARIANT NILPOTENT IDEALS OF BOUNDED CODIMENSION IN LIE ALGEBRAS
• Large characteristic subgroups satisfying multilinear commutator identities
• Groups with an automorphism of prime order that is almost regular in the sense of rank

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