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, and Yair Minsky "Rank-1 phenomena for mapping class groups," Duke Mathematical Journal 106(3), 581-597, (15 February 2001). https://doi.org/10.1215/S0012-7094-01-10636-4

Published: 15 February 2001

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