Group Rings Whose Symmetric Units Generate ann-Engel Group

DOI10.1080/00927870903286918zbMath1219.16037OpenAlexW2112710031MaRDI QIDQ5390549

Ernesto Spinelli, Gregory T. Lee

Publication date: 4 April 2011

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

Full work available at URL: https://doi.org/10.1080/00927870903286918

zbMATH Keywords

group algebrastorsion groupsinvolutionsgroup ringsgroups of unitssymmetric unitsbounded Engel groups

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) Engel conditions (20F45) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Group algebras with units satisfying a group identity
• Group algebras with units satisfying a group identity II
• Group algebras whose units satisfy a group identity
• Group algebras whose units satisfy a group identity. II
• Nilpotent Symmetric Units in Group Rings
• The lien-engel property in group rings
• Group rings whose symmetric units are nilpotent
• Group algebras with an Engel group of units

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