Unitary units and skew elements in group algebras.

DOI10.1007/s00229-003-0365-5zbMath1049.16020OpenAlexW1968312175MaRDI QIDQ1401487

Francisco César Polcino Milies, Antonio Giambruno

Publication date: 17 August 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-003-0365-5

zbMATH Keywords

group algebrasgroups of unitsunitary unitsLie nilpotencegroup identitiesskew elements

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 (15)

Group and polynomial identities in group rings ⋮ Free symmetric and unitary pairs in group algebras with involution ⋮ Oriented group involutions in group algebras: a survey ⋮ Group rings whose unitary units are nilpotent. ⋮ Bounded Engel and solvable unitary units in group rings ⋮ Skew-symmetric elements of rational group algebras ⋮ ANTISYMMETRIC ELEMENTS IN GROUP RINGS ⋮ Groups whose irreducible representations have degree at most 2. ⋮ On the Lie algebra of skew-symmetric elements of an enveloping algebra ⋮ Group algebras whose symmetric and skew elements are Lie solvable ⋮ ANTISYMMETRIC ELEMENTS IN GROUP RINGS II ⋮ UNITARY UNITS IN GROUP ALGEBRAS AND FIBONACCI SEQUENCES ⋮ Antisymmetric elements in group rings with an orientation morphism ⋮ Unitary Units Satisfying a Group Identity ⋮ Group rings whose skew elements are bounded Lie Engel.

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