Relative Rips Machine

Pei Wang

Relative Rips Machine

Group Theory 2016-12-26 v1 Geometric Topology

Authors: Pei Wang

Abstract

We study isometric actions of finitely presented groups on $\mathbb{R}$ -trees. In this paper, we develop a relative version of the Rips machine to study $\textit{pairs}$ of such actions. An important example of a $\textit{pair}$ is a group action on an $\mathbb{R}$ -tree and a subgroup action on its minimal invariant subtree.

Keywords

groupoid actions group actions phylogenetic trees

Cite

@article{arxiv.1612.07884,
  title  = {Relative Rips Machine},
  author = {Pei Wang},
  journal= {arXiv preprint arXiv:1612.07884},
  year   = {2016}
}

Comments

54 pages. Thin type components are reviewed and studied in the appendix

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