A lower bound of the distortion of the Torelli group in the mapping class group with boundary components

DOI10.1142/S0218216517500493zbMath1428.20038arXiv1609.06811OpenAlexW2963558629MaRDI QIDQ4977905

Genki Omori, Erika Kuno

Publication date: 17 August 2017

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06811

zbMATH Keywords

mapping class groupTorelli groupssubgroup distortion

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38)

Cites Work

• Irreducible Sp-representations and subgroup distortion in the mapping class group
• Geometry of the mapping class groups. I: Boundary amenability
• Geometry of the complex of curves. II: Hierarchical structure
• Cutting and pasting in the Torelli group
• THE GEOMETRY OF THE HANDLEBODY GROUPS I: DISTORTION
• A Dehn function for Sp(2n, ℤ)

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