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
automorphismrankidealLie ringnilpotentnonassociative algebramultilinear identitylocally nilpotent torsion-free group
Other kinds of identities (generalized polynomial, rational, involution) (16R50) Nilpotent groups (20F18) Nonassociative algebras satisfying other identities (17A30)
Related Items (3)
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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