Ebook: Arboreal Group Theory: Proceedings of a Workshop Held September 13–16, 1988

During the week of September 13, 1988 the Mathematical Sciences Research Institute hosted a four day workshop on Arboreal Group Theory. This volume is the product of that meeting. The program centered on the topic of the theory of groups acting on trees and the various applications to hyperbolic geometry. Topics include the theory of length functions, structure of groups acting freely on trees, spaces of hyperbolic structures and their compactifications, and moduli for tree actions.

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During the week of September 13, 1988 the Mathematical Sciences Research Institute hosted a four day workshop on Arboreal Group Theory. This volume is the product of that meeting. The program centered on the topic of the theory of groups acting on trees and the various applications to hyperbolic geometry. Topics include the theory of length functions, structure of groups acting freely on trees, spaces of hyperbolic structures and their compactifications, and moduli for tree actions.

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During the week of September 13, 1988 the Mathematical Sciences Research Institute hosted a four day workshop on Arboreal Group Theory. This volume is the product of that meeting. The program centered on the topic of the theory of groups acting on trees and the various applications to hyperbolic geometry. Topics include the theory of length functions, structure of groups acting freely on trees, spaces of hyperbolic structures and their compactifications, and moduli for tree actions.
Content:
Front Matter....Pages i-x
Growth functions of amalgams....Pages 1-34
On a Problem Raised by Alperin and Bass....Pages 35-68
Group Actions on Non-Archimedean Trees....Pages 69-131
A Counterexample to Generalized Accessibility....Pages 133-141
Geodesic currents on negatively curved groups....Pages 143-168
Pregroups and Lyndon Length Functions....Pages 169-181
?-Tree Actions are Not Determined by the Translation Lengths of Finitely Many Elements....Pages 183-187
The Boundary of Outer Space in Rank Two....Pages 189-230
Cohomological dimension of groups acting on ?-trees....Pages 231-250
Branch Points and Free Actions On ?-Trees....Pages 251-293
Axioms for Translation Length Functions....Pages 295-330
Outer Automorphisms of Hyperbolic Groups and Small Actions on ?-Trees....Pages 331-343
The Structure of Promislow’s Continuous Free Product....Pages 345-354
Foldings of G-trees....Pages 355-368

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During the week of September 13, 1988 the Mathematical Sciences Research Institute hosted a four day workshop on Arboreal Group Theory. This volume is the product of that meeting. The program centered on the topic of the theory of groups acting on trees and the various applications to hyperbolic geometry. Topics include the theory of length functions, structure of groups acting freely on trees, spaces of hyperbolic structures and their compactifications, and moduli for tree actions.
Content:
Front Matter....Pages i-x
Growth functions of amalgams....Pages 1-34
On a Problem Raised by Alperin and Bass....Pages 35-68
Group Actions on Non-Archimedean Trees....Pages 69-131
A Counterexample to Generalized Accessibility....Pages 133-141
Geodesic currents on negatively curved groups....Pages 143-168
Pregroups and Lyndon Length Functions....Pages 169-181
?-Tree Actions are Not Determined by the Translation Lengths of Finitely Many Elements....Pages 183-187
The Boundary of Outer Space in Rank Two....Pages 189-230
Cohomological dimension of groups acting on ?-trees....Pages 231-250
Branch Points and Free Actions On ?-Trees....Pages 251-293
Axioms for Translation Length Functions....Pages 295-330
Outer Automorphisms of Hyperbolic Groups and Small Actions on ?-Trees....Pages 331-343
The Structure of Promislow’s Continuous Free Product....Pages 345-354
Foldings of G-trees....Pages 355-368
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