Open Access
March 2011 The girth of convergence groups and mapping class groups
Saeko Yamagata
Osaka J. Math. 48(1): 233-249 (March 2011).


We give a sufficient condition for the girth of finitely generated groups to be infinite by using a technique to prove a so-called ping-pong lemma or table tennis lemma. We show that some convergence groups and subgroups of mapping class groups satisfy the condition. Therefore the girth of each of them is infinite.


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Saeko Yamagata. "The girth of convergence groups and mapping class groups." Osaka J. Math. 48 (1) 233 - 249, March 2011.


Published: March 2011
First available in Project Euclid: 22 March 2011

zbMATH: 1270.20033
MathSciNet: MR2802600

Primary: 20F38
Secondary: 20F65

Rights: Copyright © 2011 Osaka University and Osaka City University, Departments of Mathematics

Vol.48 • No. 1 • March 2011
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