Hyperbolic unit groups

DOI10.1090/S0002-9939-04-07578-1zbMath1067.16056OpenAlexW1657273724MaRDI QIDQ4825630

Inder Bir Singh Passi, Dipendra Prasad, Stanley Orlando Juriaans

Publication date: 28 October 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07578-1

zbMATH Keywords

hyperbolic groupstorsion subgroupsunit groupsintegral group ringsWedderburn decompositionspolycyclic-by-finite subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Hyperbolic groups and nonpositively curved groups (20F67) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Hyperbolic unit groups and quaternion algebras. ⋮ Group rings in which the group of units is hyperbolic ⋮ Hypercentral Unit Groups and the Hyperbolicity of a Modular Group Algebra ⋮ Hyperbolicity of semigroup algebras. ⋮ From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups ⋮ HYPERBOLICITY OF SEMIGROUP ALGEBRAS II ⋮ Geometric group theory and hyperbolic geometry: recent contributions from Indian mathematicians

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