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

Abstract

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.

Citation

Download Citation

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

Information

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

zbMATH: 1270.20033
MathSciNet: MR2802600

Subjects:
Primary: 20F38
Secondary: 20F65

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

JOURNAL ARTICLE
17 PAGES


SHARE
Vol.48 • No. 1 • March 2011
Back to Top