Effective construction of covers of canonical Hom-diagrams for equations over torsion-free hyperbolic groups
Keyword(s):
Abstract We 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.
Keyword(s):
1997 ◽
Vol 40
(3)
◽
pp. 330-340
◽
2015 ◽
Vol 25
(01n02)
◽
pp. 81-111
2011 ◽
Vol 21
(08)
◽
pp. 1415-1446
◽
Keyword(s):
2014 ◽
Vol 150
(11)
◽
pp. 1928-1938
◽
Keyword(s):
2007 ◽
Vol 143
(6)
◽
pp. 1613-1622
◽