Group rings in which the group of units is hyperbolic

DOI10.1515/jgt.2011.103zbMath1254.16028OpenAlexW2073861089MaRDI QIDQ2903539

Victor A. Bovdi

Publication date: 10 August 2012

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2011.103

zbMATH Keywords

group ringsgroups of unitshyperbolic unit groups

Mathematics Subject Classification ID

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) Hyperbolic groups and nonpositively curved groups (20F67) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

Modular group algebras whose group of unitary units is locally nilpotent

Cites Work

• HYPERBOLICITY OF SEMIGROUP ALGEBRAS II
• Hypercentral Unit Groups and the Hyperbolicity of a Modular Group Algebra
• Hyperbolic unit groups
• The theory of groups with finite classes of conjugate elements

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