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.
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
2007.
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Subjects: | |
Online Access: | Get fulltext |
Summary: | 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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