Automorphism groups of free, surface, and free abelian
groups
Martin R. Bridson and Karen Vogtmann
Preprint, May 2005, modified June 2006 --- to appear in
Handbook of Questions around the Mapping Class Group,
edited by B.Farb
In this article we describe some of the more
striking features of the deep analogy between GL(n,Z),
automorphism groups of free groups, and mapping class
groups. Our main purpose is to present a list of open questions
motivated by this analogy.