Conjugator length in fibre products of torsion-free hyperbolic groups is bounded between the Dehn function of the quotient and a new rel-cyclics Dehn function.
Bridson,On the subgroups of right-angled Artin groups and mapping class groups, Math
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Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups
Conjugator length in fibre products of torsion-free hyperbolic groups is bounded between the Dehn function of the quotient and a new rel-cyclics Dehn function.