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Growth of relatively hyperbolic groups
Author(s):
Xiangdong
Xie
Journal:
Proc. Amer. Math. Soc.
135
(2007),
695-704.
MSC (2000):
Primary 20F65
Posted:
September 15, 2006
MathSciNet review:
2262865
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Additional information
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.
References:
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Additional Information:
Xiangdong
Xie
Affiliation:
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221
Address at time of publication:
Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061-0123
Email:
xxie@math.uc.edu
DOI:
10.1090/S0002-9939-06-08537-6
PII:
S 0002-9939(06)08537-6
Keywords:
Exponential growth,
uniform exponential growth,
relatively hyperbolic groups,
geometrically finite groups.
Received by editor(s):
April 10, 2005
Received by editor(s) in revised form:
October 18, 2005
Posted:
September 15, 2006
Communicated by:
Alexander N. Dranishnikov
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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