Hypercentral Unit Groups and the Hyperbolicity of a Modular Group Algebra

DOI10.1080/00927870701864049zbMath1149.16028arXivmath/0610803OpenAlexW2067945474MaRDI QIDQ3510090

E. Iwaki, Stanley Orlando Juriaans

Publication date: 26 June 2008

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

Full work available at URL: https://arxiv.org/abs/math/0610803

zbMATH Keywords

hyperbolic groupshypercentersintegral group ringsmodular group algebrasunits in group ringshyperbolic unit groupshypercentral 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) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Group rings in which the group of units is hyperbolic ⋮ Group rings and the RS property ⋮ Some results on FC-hypercentral units of integral group rings

Cites Work

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• Hypercentral units in integral group rings
• Central height of the unit group of an integral group ring
• Jordan decomposition and hypercentral units in integral group rings
• Integral Group Rings with Nilpotent Unit Groups
• Integral group rings with nilpotent unit groups
• The Hypercentre and the n-Centre of the Unit Group of an Integral Group Ring
• Some Results on Hypercentral Units in Integral Group Rings
• Hyperbolic unit groups
• The Upper Central Series of the Unit Group of an Integral Group Ring
• On hypercentral units in integral group rings

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