Canonical representatives and equations in hyperbolic groups
type: Item
instance of: scholarly article
title: Canonical representatives and equations in hyperbolic groups
zbMATH Open document ID: 0845.57002
DOI: 10.1007/BF01241140
published in: Inventiones Mathematicae
publication date: 1995-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/144286
review text: An effective procedure is given to decide if a system of equations in a (torsion-free) hyperbolic group has a solution. The proof uses canonical representatives in hyperbolic groups. The authors have applied this method already (separately) for other purposes, e.g. for the solution of the isomorphism problem for (torsion-free) hyperbolic groups.
Mathematics Subject Classification ID: 57M07
Mathematics Subject Classification ID: 20F10
zbMATH DE Number: 784013
zbMATH Keywords: system of equations
zbMATH Keywords: hyperbolic group
Wikidata QID: Q56388570
MaRDI profile type: Publication
cites work: ON SOME ALGORITHMIC PROPERTIES OF HYPERBOLIC GROUPS
cites work: EQUATIONS IN A FREE GROUP
cites work: ON SYSTEMS OF EQUATIONS IN A FREE GROUP
cites work: The isomorphism problem for hyperbolic groups. I
cites work: Uniform embeddings of hyperbolic groups in Hilbert spaces
author: Zlil Sela
author: Eliyahu Rips
description: scientific article; zbMATH DE number 784013