Growth of relatively hyperbolic groups

Xie, Xiangdong

doi:10.1090/S0002-9939-06-08537-6

Growth of relatively hyperbolic groups
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by Xiangdong Xie PDF

Proc. Amer. Math. Soc. 135 (2007), 695-704 Request permission

Abstract:

We show that a finitely generated group that is hyperbolic relative to a collection of proper subgroups either is virtually cyclic or has uniform exponential growth.

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