Subgroup decomposition in Out(Fn) /
Michael Handel, Lee Mosher.
- 1 online resource (290 pages).
- Memoirs of the American Mathematical Society, number 1280 0065-9266 ; .
- Memoirs of the American Mathematical Society ; number 1280. .
"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.
9781470458027 (e-book)
Manifolds and cell complexes -- Low-dimensional topology -- Topological methods in group theory. Group theory and generalizations -- Structure and classification of infinite or finite groups -- Free nonabelian groups. Group theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory [See also 05C25, 20E08, 57Mxx]. Group theory and generalizations -- Special aspects of infinite or finite groups -- Automorphism groups of groups [See also 20E36]. Non-Abelian groups. Geometric group theory. Decomposition (Mathematics) Automorphisms. Algebraic topology.