Subgroup decomposition in Out(Fn)

Title:

Author:

Handel, Michael, 1949- author.

ISBN:

9781470458027

Personal Author:

Handel, Michael, 1949- author.

Physical Description:

1 online resource (290 pages).

Series:

Memoirs of the American Mathematical Society, number 1280

Memoirs of the American Mathematical Society ; number 1280.

General Note:

"March 2020, volume 264, number 1280 (third of 6 numbers)."

Contents:

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.

Local Note:

Electronic reproduction. Ann Arbor, MI : ProQuest, 2018. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.

Subject Term:

Manifolds and cell complexes {For complex manifolds, see 32Qxx} -- 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.