Rank-1 phenomena for mapping class groups

Benson Farb; Alexander Lubotzky; Yair Minsky

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

Rank-1 phenomena for mapping class groups

Benson Farb
, Alexander Lubotzky
, Yair Minsky

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

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.

Original language	English
Pages (from-to)	581-597
Number of pages	17
Journal	Duke Mathematical Journal
Volume	106
Issue number	3
DOIs	https://doi.org/10.1215/S0012-7094-01-10636-4
State	Published - 2001

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Rank-1 phenomena for mapping class groups

Abstract

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