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Train tracks and automorphisms of free groups
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Morse theory and finiteness properties of groups
Abstract. We examine the finiteness properties of certain subgroups of “right angled” Artin groups. In particular, we find an example of a group that is of type FP(Z) but is not finitely presented.
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A combination theorem for negatively curved groups
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Laminations, trees, and irreducible automorphisms of free groups
Abstract. We examine the action of Out(Fn) on the set of (irreducible) laminations. Consequences include a special case of the Tits alternative for Out(Fn), the discreteness of certain naturally…
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Train-tracks for surface homeomorphisms
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The boundary of negatively curved groups
Gromov's article [Gr] contains fundamental properties of negatively curved groups. Several sets of seminar notes are available [FrN, SwN, USN] that contain more detailed accounts of, and further…
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Stable actions of groups on real trees
This paper further develops Rips's work on real trees. We study a class of actions called ‘stable’ which includes actions with trivial arc stabilizers and small actions of hyperbolic groups.
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Constructing group actions on quasi-trees and applications to mapping class groups
A quasi-tree is a geodesic metric space quasi-isometric to a tree. We give a general construction of many actions of groups on quasi-trees. The groups we can handle include non-elementary…
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Hyperbolicity of the complex of free factors
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Characterizing k-dimensional universal Menger compacta
The disjoint fc-cells property (DDP), isolated by J. W. Cannon [Ca], has played the critical role in the characterization theorems for finite-dimensional manifolds (R. D. Edwards [Ed], F. Quinn [Qu])…
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