Rank-1 phenomena for mapping class groups

Benson Farb, Alexander Lubotzky, Yair Minsky

Research output: Contribution to journalArticlepeer-review

62 Scopus citations

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.

Original languageEnglish
Pages (from-to)581-597
Number of pages17
JournalDuke Mathematical Journal
Volume106
Issue number3
DOIs
StatePublished - 2001

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