Introduction to subgroup decomposition - Preliminaries : decomposing outer automorphisms
Geometric EG strata and geometric laminations
Vertex groups and vertex group systems
Statements of the main results
Preliminaries
An outline of the relative Kolchin theorem
IAn(Z/3) periodic conjugacy classes
IAn(Z/3) periodic free factors
Limit trees
Carrying asymptotic data : proposition 3.4
Finding Nielsen pairs : proposition 3.7
The nonattracting subgroup system
Nonattracted lines
Ping-pong on geodesic lines
Proof of theorem C
A filling lemma.