Uniformly exponential growth and mapping class groups of surfaces

Uniformly exponential growth and mapping class groups of surfaces

We show that the mapping class group (as well as closely related groups) of an orientable surface with finitely generated fundamental group has uniformly exponential growth. We further demonstrate the uniformly non-amenability of many of these groups.

Bibliographic Details
Main Authors: Anderson, J.W (Author), Aramayona, J. (Author), Shackleton, K.J (Author)
Format: Article
Language:English
Published: 2007.
Subjects:
Article
Online Access:Get fulltext
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100 1 0 |a Anderson, J.W.  |e author 
700 1 0 |a Aramayona, J.  |e author 
700 1 0 |a Shackleton, K.J.  |e author 
245 0 0 |a Uniformly exponential growth and mapping class groups of surfaces 
260 |c 2007. 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/44692/1/mcg_ueg_final.pdf 
520 |a We show that the mapping class group (as well as closely related groups) of an orientable surface with finitely generated fundamental group has uniformly exponential growth. We further demonstrate the uniformly non-amenability of many of these groups. 
655 7 |a Article 

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