English

Artin HNN-extensions virtually embed in Artin groups

Group Theory 2014-02-26 v1 Geometric Topology

Abstract

An Artin HNN-extension is an HNN-extension of an Artin group in which the stable letter conjugates a pair of suitably chosen subsets of the standard generating set. We show that some finite index subgroup of an Artin HNN-extension embeds in an Artin group. We also obtain an analogous result for Coxeter groups.

Cite

@article{arxiv.0802.1733,
  title  = {Artin HNN-extensions virtually embed in Artin groups},
  author = {Tim Hsu and Ian J. Leary},
  journal= {arXiv preprint arXiv:0802.1733},
  year   = {2014}
}
R2 v1 2026-06-21T10:12:04.434Z