Abstract
We show that is residually finite if is one-ended and hyperbolic relative to virtually polycyclic subgroups. More generally, if is one-ended and hyperbolic relative to proper residually finite subgroups, the group of outer automorphisms preserving the peripheral structure is residually finite. We also show that is virtually residually –finite for every prime if is one-ended and toral relatively hyperbolic, or infinitely-ended and virtually residually –finite.
Citation
Gilbert Levitt. Ashot Minasyan. "Residual properties of automorphism groups of (relatively) hyperbolic groups." Geom. Topol. 18 (5) 2985 - 3023, 2014. https://doi.org/10.2140/gt.2014.18.2985
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