Author
Kar, A
Nikolov, N
Journal title
Groups, Geometry, and Dynamics
DOI
10.4171/GGD/300
Last updated
2021-11-11T22:03:21.76+00:00
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.
Symplectic ID
353977