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A LOWER BOUND ON THE GROWTH OF WORD HYPERBOLIC GROUPS

Published online by Cambridge University Press:  22 February 2006

G. N. ARZHANTSEVA  and
I. G. LYSENOK
G. N. ARZHANTSEVA
Affiliation:
Section de Mathématiques, Université de Genève, CP 64, 1211 Genève 4, SwitzerlandGoulnara.Arjantseva@math.unige.ch
I. G. LYSENOK
Affiliation:
Steklov Institute of Mathematics, Gubkina str. 8, 119991 Moscow, Russialysionok@mi.ras.ru
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Abstract

We give a linear lower bound on the exponential growth rate of a non-elementary subgroup of a word hyperbolic group, with respect to the number of generators for the subgroup.

Keywords

20F6720F69
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 109 - 125
Copyright
The London Mathematical Society 2006

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Footnotes

The work has been supported by the Swiss National Science Foundation