An Algebraic Annulus Theorem
Peter Scott, Gadde A. Swarup
TL;DR
This paper extends Dunwoody's theory of tracks to prove an analogue of the annulus theorem specifically for hyperbolic groups, advancing the understanding of their geometric structure.
Contribution
It introduces an algebraic approach to the annulus theorem for hyperbolic groups, expanding the theoretical framework of geometric group theory.
Findings
Proves an algebraic analogue of the annulus theorem for hyperbolic groups
Extends Dunwoody's theory of tracks to new algebraic contexts
Provides new tools for analyzing the structure of hyperbolic groups
Abstract
We present an extension of Dunwoody's theory of tracks and use it to prove an analogue of the annulus theorem for hyperbolic groups.
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Taxonomy
TopicsMathematics and Applications · Geometric and Algebraic Topology · Mathematical Dynamics and Fractals