
TL;DR
This paper introduces a relative Rips machine to analyze pairs of isometric group actions on R-trees, especially focusing on a group and its subgroup's actions on invariant subtrees, advancing understanding of their structure.
Contribution
The paper develops a novel relative Rips machine framework for studying pairs of R-tree actions, extending previous methods to include subgroup actions and invariant subtrees.
Findings
Provides a new tool for analyzing group actions on R-trees
Enables detailed study of subgroup actions on invariant subtrees
Enhances understanding of the structure of isometric group actions
Abstract
We study isometric actions of finitely presented groups on -trees. In this paper, we develop a relative version of the Rips machine to study of such actions. An important example of a is a group action on an -tree and a subgroup action on its minimal invariant subtree.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Topological and Geometric Data Analysis
