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- Publisher
- de Gruyter
- Copyright
- © 2019 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 1869-6104
- eISSN
- 1869-6104
- DOI
- 10.1515/gcc-2019-2010
- Publisher site
- See Article on Publisher Site
Abstract
AbstractWe show that, given a finitely generated group G as the coordinate group of a finite system of equations over a torsion-free hyperbolic group Γ, there is an algorithm which constructs a cover of a canonical solution diagram.The diagram encodes all homomorphisms from G to Γ as compositions of factorizations through Γ-NTQ groups and canonical automorphisms of the corresponding NTQ-subgroups.We also give another characterization of Γ-limit groups as iterated generalized doubles over Γ.
Journal
Groups Complexity Cryptology – de Gruyter
Published: Nov 1, 2019