Groups of units of integral group rings of Kleinian type

DOI10.1090/S0002-9947-04-03574-3zbMath1070.16030MaRDI QIDQ4671900

Ángel Del Río, Antonio Pita, Manuel Ruiz Marin

Publication date: 27 April 2005

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

zbMATH Keywords

presentationsKleinian groupgroups of unitsintegral group ringsfundamental polyhedranilpotent finite groups

Mathematics Subject Classification ID

Group rings (16S34) Generators, relations, and presentations of groups (20F05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)

Related Items (7)

Groups of units of integral group rings commensurable with direct products of free-by-free groups. ⋮ Revisiting Poincaré's theorem on presentations of discontinuous groups via fundamental polyhedra ⋮ Abelianization of the unit group of an integral group ring ⋮ Group algebras of Kleinian type and groups of units. ⋮ Describing units of integral group rings up to commensurability. ⋮ Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring ⋮ Presentations of groups acting discontinuously on direct products of hyperbolic spaces

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