JournalsggdVol. 6, No. 1pp. 155–220

The fully residually FF quotients of Fx,yF *\langle x,y \rangle

  • Nicholas W. M. Touikan

    Parc Scientifique et Technologique de Luminy, Marseille, France
The fully residually $F$ quotients of $F *\langle x,y \rangle$ cover

Abstract

We describe the fully residually FF groups, or limit groups relative to FF, that are quotients of Fx,yF *\langle x,y \rangle. 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 FF that can arise. We also give bounds on uniform hierarchical depth.

Cite this article

Nicholas W. M. Touikan, The fully residually FF quotients of Fx,yF *\langle x,y \rangle. Groups Geom. Dyn. 6 (2012), no. 1, pp. 155–220

DOI 10.4171/GGD/154