Nilpotency Indices of Symmetric Elements of Group Algebras

DOI10.1080/00927872.2011.584925zbMath1266.16021OpenAlexW2168325630MaRDI QIDQ4909089

Tibor Juhász, Zsolt Balogh

Publication date: 12 March 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.584925

zbMATH Keywords

group algebrasinvolutionsgroup ringssymmetric elementsnilpotency classessymmetric unitsLie nilpotency indices

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Nilpotent groups (20F18) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

COMMUTATOR IDENTITIES ON SYMMETRIC ELEMENTS OF GROUP ALGEBRAS

Cites Work

• Lie properties of the group algebra and the nilpotency class of the group of units
• Rings with involution
• Lie nilpotence of group rings
• A note on Lie nilpotent group rings
• Group rings whose symmetric elements are Lie nilpotent
• A NOTE ON THE DERIVED LENGTH OF THE UNIT GROUP OF A MODULAR GROUP ALGEBRA
• Nilpotent Symmetric Units in Group Rings
• Group rings whose symmetric units are nilpotent
• Lie Solvable Group Rings

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