Construction of an integral group ring with trivial elements of finite order

DOI10.1007/BF00995949zbMath0457.16005MaRDI QIDQ1150672

Adalbert Bovdi

Publication date: 1981

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

integral group ringtorsion elementsgroup of normed units

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Units, groups of units (associative rings and algebras) (16U60) Infinite automorphism groups (20B27)

Cites Work

• Nilpotent elements in group rings
• Certain algebraic elements in group rings
• Group algebras over finitely generated rings
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Nilpotency of the multiplicative group of a group ring
• Integral group rings with nilpotent unit groups
• The Units of Group-Rings
• Group rings whose units form an FC-group

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