The girth of convergence groups and mapping class groups.

zbMath1270.20033MaRDI QIDQ531286

Saeko Yamagata

Publication date: 29 April 2011

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1300802712

zbMATH Keywords

convergence groupsfinitely generated groupsCayley graphsgenerating setsmapping class groupsgirth of groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38)

Cites Work

• The girth of groups satisfying Tits alternative.
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• On the girth of finitely generated groups.
• Dynamics on Thurston's sphere of projective measured foliations
• Free subgroups in linear groups
• A "Tits-Alternative" for Subgroups of Surface Mapping Class Groups
• Groups Covered By Permutable Subsets
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