Isoperimetric inequalities for the handlebody groups

DOI10.1090/S0002-9947-2012-05808-9zbMath1308.57002arXiv1109.5255MaRDI QIDQ2847196

Ursula Hamenstädt, Sebastian W. Hensel

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5255

zbMATH Keywords

mapping class groupexponential growthhandlebodyDehn functionouter automorphisms free group

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07)

Related Items (3)

Arithmetic quotients of the mapping class group ⋮ The geometry of the handlebody groups. II: Dehn functions ⋮ Extension of the Švarc-Milnor lemma to gyrogroups

Cites Work

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• Twist groups of compact 3-manifolds
• Geometry of the complex of curves. II: Hierarchical structure
• Isoperimetric inequalities for automorphism groups of free groups
• Homological stability for automorphism groups of free groups
• The Dehn functions of \(\mathrm{Out}(F_n)\) and \(\Aut(F_n)\).
• Lipschitz retraction and distortion for subgroups of \(\mathrm{Out}(F_n)\).
• THE GEOMETRY OF THE HANDLEBODY GROUPS I: DISTORTION
• Measured foliations and handlebodies
• On the Geometry of the Automorphism Group of a Free Group
• Mapping class groups are automatic

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