Automorphisms of free groups, I
Group Theory
2016-09-28 v2
Abstract
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.
Cite
@article{arxiv.1304.0498,
title = {Automorphisms of free groups, I},
author = {Laurent Bartholdi},
journal= {arXiv preprint arXiv:1304.0498},
year = {2016}
}
Comments
22 pages; fixed some typos, improved some proofs wrt v1