Group rings whose unitary units are nilpotent.

DOI10.1016/j.jalgebra.2014.01.041zbMath1312.16035OpenAlexW2074340486MaRDI QIDQ403122

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

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.01.041

zbMATH Keywords

groups of unitsmodular group algebrasunitary unitsgroup identitiesLie-nilpotencynon-modular group algebrassymmetric units

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

Group and polynomial identities in group rings ⋮ Modular group algebras whose group of unitary units is locally nilpotent ⋮ Star group identities on units of group algebras ⋮ Star-group identities on units of group algebras: the non-torsion case ⋮ Bounded Engel and solvable unitary units in group rings ⋮ Unitary subgroups of commutative group algebras of the characteristic two

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