Geodesic
The fully residually $F$ quotients of $F *\langle x,y \rangle$
Nicholas W. M. Touikan1
1Parc Scientifique et Technologique de Luminy, Marseille, France
Groups, geometry, and dynamics, Tome 6 (2012) no. 1, pp. 155-220

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DOI

We describe the fully residually F groups, or limit groups relative to F, that are quotients of F∗〈x,y〉. 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 F that can arise. We also give bounds on uniform hierarchical depth.
DOI : 10.4171/ggd/154
Classification : 20-XX, 00-XX
Mots-clés : Limit groups, equations over free groups

Nicholas W. M. Touikan  1

1 Parc Scientifique et Technologique de Luminy, Marseille, France 
Nicholas W. M. Touikan. The fully residually $F$ quotients of $F *\langle x,y \rangle$. Groups, geometry, and dynamics, Tome 6 (2012) no. 1, pp. 155-220. doi: 10.4171/ggd/154
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     pages = {155--220},
     year = {2012},
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     number = {1},
     doi = {10.4171/ggd/154},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/154/}
}
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