Splittings of Relatively Hyperbolic Groups

Groff, Bradley W.

Splittings of Relatively Hyperbolic Groups

thesis

posted on 2013-10-24, 00:00 authored by Bradley W. Groff

We obtain a strong structural description for a broad subset of relatively hyperbolic groups, including all which are finitely-presented and one-ended. We additionally leverage this to produce splittings of the quasi-isometry groups of such a relatively hyperbolic group.

History

Advisor

Groves, Daniel

Department

Mathematics, Statistics and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Committee Member

Culler, Marc Shalen, Peter Whyte, Kevin Farb, Benson

Submitted date

2013-08

Language

en

Issue date

2013-10-24

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Keywords

relatively hyperbolic groups quasi-isometries group splittings geometric group theory

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Splittings of Relatively Hyperbolic Groups

History

Advisor

Department

Degree Grantor

Degree Level

Committee Member

Submitted date

Language

Issue date

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