Memoirs of the American Mathematical Society, ISSN 0065-9266 ; number 1280
Print version: Handel, Michael, 1949- Subgroup decomposition in Out(Fn). Providence, Rhode Island ; American Mathematical Society [2020] 290 pages ISBN 9781470441135
"March 2020, volume 264, number 1280 (third of 6 numbers)."
Includes bibliographical references and index
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.