Artin HNN-extensions virtually embed in Artin groups
Preprint
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.Keywords
All Related Versions
This publication has 5 references indexed in Scilit:
- Subgroup separability of the figure 8 knot groupTopology, 2006
- On finite subgroups of groups of type VFGeometry & Topology, 2005
- Right-angled Artin groups are commensurable with right-angled Coxeter groupsJournal of Pure and Applied Algebra, 2000
- On linear and residual properties of graph products.Michigan Mathematical Journal, 1999
- Parabolic Subgroups of Artin GroupsJournal of Algebra, 1997