Bounded Engel and solvable unitary units in group rings

DOI10.1016/j.jalgebra.2017.12.021zbMath1447.16037OpenAlexW2782099515MaRDI QIDQ1703215

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

Publication date: 1 March 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.12.021

zbMATH Keywords

group ringunitary unitssolvablebounded Engel

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Group and polynomial identities in group rings ⋮ Modular group algebras whose group of unitary units is locally nilpotent ⋮ Unitary subgroups of commutative group algebras of the characteristic two

Cites Work

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• Group rings whose unitary units are nilpotent.
• Unitary units and skew elements in group algebras.
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• Lie Identities on Skew Elements in Group Algebras
• Group Rings Whose Symmetric Units are Solvable
• Unitary Units Satisfying a Group Identity
• Lie algebra associated with linear group
• Group Rings with Solvable n-Engel Unit Groups
• Group algebras whose symmetric and skew elements are Lie solvable
• Lie Solvable Group Rings
• Unitary units in group algebras

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