Work

Foliations for solving equations in groups: free, virtually free, and hyperbolic groups

Year: 2010

Type: article

Abstract: We give an algorithm for solving equations and inequations with rational constraints in virtually free groups. Our algorithm is based on Rips’ classification of measured band complexes. Using canonical representatives, we deduce an algorithm for solving equations and inequations in all hyperbolic groups (possibly with torsion). Additionally, we can deal with quasi-isometrically embeddable rational constraints.

Source: Journal of Topology

DOI: 10.1112/jtopol/jtq010

Authors: François Dahmani, Vincent Guirardel

Institutions: Université Toulouse III - Paul Sabatier, Institut de Mathématiques de Toulouse

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Agence Nationale de la Recherche

OpenAlex ID: W1993909257

FWCI: 0.803

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Cited by: 31

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