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Cannon–Thurston maps, subgroup distortion, and hyperbolic hydra
subgroup distortion hyperbolic hydra
2015/8/26
We prove that Cannon–Thurston maps are well–defined (that is, subgroup inclusion induces a map of the boundaries) for heavily distorted free subgroups inside the family of hyperbolic groups known as h...
Subgroup Distortion in Wreath Products of Cyclic Groups
Subgroup Distortion Wreath Products of Cyclic Groups
2010/12/10
We study the effects of subgroup distortion in the wreath products A wr Z, where A is finitely generated abelian. We show that every finitely generated subgroup of A wr Z has distortion function bound...