%0 Journal Article
%T Automorphisms of free groups, I
%A Laurent Bartholdi
%J Mathematics
%D 2013
%I arXiv
%X We describe, up to degree equal to the rank, the Lie algebra associated with the automorphism group of a free group. We compute in particular the ranks of its homogeneous components, and their structure as modules over the linear group. Along the way, we infirm (but confirm a weaker form of) a conjecture by Andreadakis, and answer a question by Bryant-Gupta-Levin-Mochizuki.
%U http://arxiv.org/abs/1304.0498v2