Nilpotency of group ring units symmetric with respect to an involution.

DOI10.1016/j.jpaa.2009.12.004zbMath1198.16033OpenAlexW1988971185MaRDI QIDQ964514

Sudarshan K. Sehgal, Ernesto Spinelli, Gregory T. Lee

Publication date: 22 April 2010

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.2009.12.004

zbMATH Keywords

group algebrastorsion groupsinvolutionsgroup ringsgroup identitiesLie-nilpotencysymmetric unitsunits in group rings

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) Units, groups of units (associative rings and algebras) (16U60)

Related Items (4)

Oriented group involutions in group algebras: a survey ⋮ Group rings whose unitary units are nilpotent. ⋮ A Survey on *-Group Identities on Units of Group Rings ⋮ Additive mappings and identities on unit groups of algebraic algebras

Cites Work

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• Group algebras with symmetric units satisfying a group identity.
• Lie properties of symmetric elements in group rings. II.
• Lie properties of symmetric elements in group rings.
• Group identities on symmetric units.
• Symmetric units and group identities
• Group algebras of torsion groups and Lie nilpotence
• Observations on group rings
• Group algebras whose units satisfy a group identity. II
• Nilpotent Symmetric Units in Group Rings
• Group rings whose symmetric units are nilpotent
• On Symmetric Elements and Symmetric Units in Group Rings
• Lie Solvable Group Rings

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