The University of Southampton
University of Southampton Institutional Repository

Uniformly exponential growth and mapping class groups of surfaces

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
0271-4132
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
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, 1-6.

Record type: Article

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
Download (119kB)

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
ORCID for J.W. Anderson: ORCID iD orcid.org/0000-0002-7849-144X

Catalogue record

Date deposited: 04 May 2007
Last modified: 16 Mar 2024 02:52

Export record

Contributors

Author: J.W. Anderson ORCID iD
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

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×