Group rings whose group of units is hyperbolic
V. Bovdi
TL;DR
This paper investigates the properties of group rings where the group of units forms a hyperbolic group, exploring the algebraic and geometric implications of this structure.
Contribution
It provides a characterization and analysis of group rings with hyperbolic unit groups, a novel intersection of algebra and geometric group theory.
Findings
Identification of conditions for hyperbolic unit groups
Examples of such group rings
Implications for algebraic and geometric properties
Abstract
We study those group rings whose group of units is hyperbolic.
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Taxonomy
TopicsGeometric and Algebraic Topology · Finite Group Theory Research · Advanced Algebra and Geometry