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Isoperimetric inequalities for the handlebody groups

Authors :
Sebastian Hensel
Ursula Hamenstädt
Source :
Transactions of the American Mathematical Society
Publication Year :
2011

Abstract

We show that the mapping class group of a handlebody of genus at least 2 has a Dehn function of at most exponential growth type.<br />21 pages, 1 figure

Subjects

Subjects :
Pure mathematics
Applied Mathematics
General Mathematics
Mathematical analysis
Geometric Topology (math.GT)
Group Theory (math.GR)
Type (model theory)
Mapping class group
Dehn function
Mathematics - Geometric Topology
Exponential growth
Genus (mathematics)
FOS: Mathematics
Isoperimetric inequality
20F65, 57M07
Handlebody
Mathematics - Group Theory
Mathematics

Details

Language :
English
Database :
OpenAIRE
Journal :
Transactions of the American Mathematical Society
Accession number :
edsair.doi.dedup.....e20a4069856da7426c4cf08338db9070

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