Artin HNN-extensions virtually embed in Artin groups
Artin HNN-extensions virtually embed in Artin groups
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.
715-719
Hsu, T.
616171b9-fbe3-4a5e-bc39-6e3a9db8c677
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
August 2008
Hsu, T.
616171b9-fbe3-4a5e-bc39-6e3a9db8c677
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Hsu, T. and Leary, I.J.
(2008)
Artin HNN-extensions virtually embed in Artin groups.
Bulletin of the London Mathematical Society, 40 (4), .
(doi:10.1112/blms/bdn055).
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.
This record has no associated files available for download.
More information
e-pub ahead of print date: 23 June 2008
Published date: August 2008
Additional Information:
Funded by National Science Foundation: Mathematical Sciences Research Institute 5 Year Proposal (441170)
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 199419
URI: http://eprints.soton.ac.uk/id/eprint/199419
ISSN: 0024-6093
PURE UUID: 1c6ad90e-7fab-4d3c-b0b4-aa4a3db018e1
Catalogue record
Date deposited: 18 Oct 2011 11:16
Last modified: 15 Mar 2024 03:36
Export record
Altmetrics
Contributors
Author:
T. Hsu
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
