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 language | English |
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Pages (from-to) | 581-597 |
Number of pages | 17 |
Journal | Duke Mathematical Journal |
Volume | 106 |
Issue number | 3 |
DOIs | |
State | Published - 2001 |