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.
mapping class group, uniformly exponential growth
1-6
Anderson, J.W.
739c0e33-ef61-4502-a675-575d08ee1a98
Aramayona, J.
a881d555-0fa2-46cc-803c-9ec49e1031be
Shackleton, K.J.
f198612b-ede4-4ab1-bd31-89011fcc1326
2007
Anderson, J.W.
739c0e33-ef61-4502-a675-575d08ee1a98
Aramayona, J.
a881d555-0fa2-46cc-803c-9ec49e1031be
Shackleton, K.J.
f198612b-ede4-4ab1-bd31-89011fcc1326
Anderson, J.W., Aramayona, J. and Shackleton, K.J.
(2007)
Uniformly exponential growth and mapping class groups of surfaces.
Contemporary Mathematics, 432, .
Abstract
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.
Text
mcg_ueg_final.pdf
- Author's Original
More information
Published date: 2007
Keywords:
mapping class group, uniformly exponential growth
Identifiers
Local EPrints ID: 44692
URI: http://eprints.soton.ac.uk/id/eprint/44692
ISSN: 0271-4132
PURE UUID: 48fe30f6-ec2a-4e80-a4b9-754c5ecc4139
Catalogue record
Date deposited: 04 May 2007
Last modified: 16 Mar 2024 02:52
Export record
Contributors
Author:
J. Aramayona
Author:
K.J. Shackleton
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics