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Rank-1 phenomena for mapping class groups
Benson Farb, Alexander Lubotzky, Yair Minsky
Source record
Source: Crossref
Published: Feb 15, 2001
DOI: 10.1215/s0012-7094-01-10636-4
Open original source ↗Source abstract
We prove that every element of the mapping class group Γg has linear growth (confirming a conjecture of N. Ivanov) and that Γg is not boundedly generated. We also provide restrictions on linear representations of Γg and its finite index subgroups.
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