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Verbal subgroups of hyperbolic groups have infinite width
Verbal subgroups hyperbolic groups Group Theory
2011/9/14
Abstract: Let $G$ be a non-elementary hyperbolic group. Let $w$ be a group word such that the set $w[G]$ of all its values in $G$ does not coincide with $G$ or 1. We show that the width of verbal subg...
Limit sets of relatively hyperbolic groups
dynamical quasiconvexity relative hyperbolicity limit sets
2010/12/1
In this paper, we prove a limit set intersection theorem in rela-tively hyperbolic groups. We also show that a nonparabolic relatively quasicon-vex subgroup cannot contain a proper conjugate of itself...
