Automorphisms of free groups. I

作者:Bartholdi Laurent*
来源:The New York Journal of Mathematics, 2013, 19: 395-421.

摘要

We describe, up to degree n, the Lie algebra associated with the automorphism group of a free group of rank n. We compute in particular the ranks of its homogeneous components, and their structure as modules over the linear group. %26lt;br%26gt;Along the way, we infirm (but confirm a weaker form of) a conjecture by Andreadakis, and answer a question by Bryant-Gupta-Levin-Mochizuki.

  • 出版日期2013