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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.
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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.

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Published date: 2007
Keywords: mapping class group, uniformly exponential growth

Identifiers

Local EPrints ID: 44692
URI: https://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: 14 Mar 2019 01:51

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