We describe the fully residually groups, or limit groups relative to , that are quotients of . We use the structure theory of finitely generated fully residually free groups to produce a finite list of possible types of cyclic JSJ decompositions modulo that can arise. We also give bounds on uniform hierarchical depth.
Cite this article
Nicholas W. M. Touikan, The fully residually quotients of . Groups Geom. Dyn. 6 (2012), no. 1, pp. 155–220DOI 10.4171/GGD/154