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Divergence, thick groups, and short conjugators

Divergence, thick groups, and short conjugators

The notion of thickness, introduced in (Math. Ann. 344 (2009) 543–595), is one of the first tools developed to study the quasi-isometric behavior of weakly relatively hyperbolic groups. In this paper, we further this exploration through a relationship between thickness and the divergence of geodesics. We construct examples, for every …