Artin HNN-extensions virtually embed in Artin groups
Hsu, T. and Leary, I.J. (2008) Artin HNN-extensions virtually embed in Artin groups. Bulletin of the London Mathematical Society, 40, (4), 715-719. (doi:10.1112/blms/bdn055).
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Description/Abstract
We define an Artin HNN-extension to be 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 any Artin HNN-extension embeds in an Artin group. Similarly, we show that every Coxeter HNN-extension virtually embeds in a Coxeter group.
| Item Type: | Article |
|---|---|
| ISSNs: | 0024-6093 (print) 1469-2120 (electronic) |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics |
| Item ID: | 199419 |
| Date Deposited: | 18 Oct 2011 11:16 |
| Last Modified: | 20 May 2013 14:11 |
| Contributors: | Hsu, T. (Author) Leary, I.J. (Author) |
| Funder: | NSF |
| Date: | August 2008 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/199419 |
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