Handel, Michael, 1949-

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.


Electronic books.

QA174.2 / .H363 2020

511.3/26