Rank-1 phenomena for mapping class groups

被引：61

作者：

Farb, B

Lubotzky, A

Minsky, Y

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Hebrew Univ Jerusalem, Dept Math, IL-91904 Jerusalem, Israel

[3] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2001年 / 106卷 / 03期

关键词：

D O I：

10.1215/S0012-7094-01-10636-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every element of the mapping class group Gamma (g) has linear growth (confirming a conjecture of N. Ivanov) and that Gamma (g) is not boundedly generated. We also provide restrictions on linear representations of Gamma (g) and its finite index subgroups.

引用

页码：581 / 597

页数：17

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