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Quantifying separability in virtually special groups

Quantifying separability in virtually special groups

We give a new, effective proof of the separability of cubically convexcocompact subgroups of special groups.As a consequence, we show that if G is a virtually compact special hyperbolic group, and Q ≤ G is a K-quasiconvex subgroup, then any g ∈ G -Q of word length at most n …