Publication Date:
11 February 2015
Journal:
Groups, Geometry, and Dynamics
Last Updated:
2020-01-20T07:56:41.02+00:00
Issue:
4
Volume:
8
DOI:
10.4171/GGD/300
page:
1195-1205
abstract:
We prove that the rank gradient vanishes for mapping class groups of genus
bigger than 1, $Aut(F_n)$, for all $n$, $Out(F_n)$ for $n \geq 3$, and any
Artin group whose underlying graph is connected. These groups have fixed price
1. We compute the rank gradient and verify that it is equal to the first
$L^2$-Betti number for some classes of Coxeter groups.
bigger than 1, $Aut(F_n)$, for all $n$, $Out(F_n)$ for $n \geq 3$, and any
Artin group whose underlying graph is connected. These groups have fixed price
1. We compute the rank gradient and verify that it is equal to the first
$L^2$-Betti number for some classes of Coxeter groups.
Symplectic id:
353977
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Submitted to ORA:
Not Submitted
Publication Type:
Journal Article