Rank-1 phenomena for mapping class groups

Benson Farb; Alexander Lubotzky; Yair Minsky

doi:10.1215/S0012-7094-01-10636-4

Abstract

We prove that every element of the mapping class group Γ_g has linear growth (confirming a conjecture of N. Ivanov) and that Γ_g is not boundedly generated. We also provide restrictions on linear representations of Γ_g and its finite index subgroups.

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Benson Farb. Alexander Lubotzky. Yair Minsky. "Rank-1 phenomena for mapping class groups." Duke Math. J. 106 (3) 581 - 597, 15 February 2001. https://doi.org/10.1215/S0012-7094-01-10636-4

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Published: 15 February 2001

First available in Project Euclid: 13 August 2004

zbMATH: 1025.20023

MathSciNet: MR1813237

Digital Object Identifier: 10.1215/S0012-7094-01-10636-4

Subjects:

Primary: 20F34

Secondary: 57M07

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