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Uniformly exponential growth and mapping class groups of surfaces
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Anderson, J. W., Aramayona, Javier and Shackleton, K. J. (2005) Uniformly exponential growth and mapping class groups of surfaces. In: 3rd Ahlfors-Bers Colloquium, Univ Michigan, Ann Arbor, MI, 19-22 May 2005. Published in: In the Tradition of Ahlfors-Bers, IV, Volume 432 pp. 1-6. ISBN 9780821842270. ISSN 0271-4132.
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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.
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Series Name: | Contemporary Mathematics Series | ||||
Journal or Publication Title: | In the Tradition of Ahlfors-Bers, IV | ||||
Publisher: | American Mathematical Society | ||||
ISBN: | 9780821842270 | ||||
ISSN: | 0271-4132 | ||||
Editor: | Dick, C and Gilman, J and Heinonen, J and Masur, H | ||||
Official Date: | 2005 | ||||
Dates: |
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Volume: | Volume 432 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 1-6 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | 3rd Ahlfors-Bers Colloquium | ||||
Type of Event: | Other | ||||
Location of Event: | Univ Michigan, Ann Arbor, MI | ||||
Date(s) of Event: | 19-22 May 2005 |
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