The bounded Lie Engel property on torsion group algebras.

DOI10.1016/j.jpaa.2011.03.007zbMath1234.16013OpenAlexW2081068503WikidataQ115345529 ScholiaQ115345529MaRDI QIDQ640922

Ernesto Spinelli, Gregory T. Lee, Francesco Catino

Publication date: 21 October 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.03.007

zbMATH Keywords

group algebrasinvolutionsskew elementsLie Engel conditionsLie identities

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (3)

Oriented group involutions in group algebras: a survey ⋮ LIE METABELIAN SKEW ELEMENTS IN GROUP RINGS ⋮ Group rings whose skew elements are bounded Lie Engel.

Cites Work

• Lie properties of symmetric elements in group rings. II.
• Lie properties of symmetric elements in group rings.
• Group identities on units and symmetric units of group rings.
• Lie nilpotence of group rings
• Group algebras of torsion groups and Lie nilpotence
• ANTISYMMETRIC ELEMENTS IN GROUP RINGS II
• Observations on group rings
• Group algebras whose units satisfy a group identity. II
• The lien-engel property in group rings
• On Symmetric Elements and Symmetric Units in Group Rings
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