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Artin HNN-extensions virtually embed in Artin groups

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.
0024-6093
715-719
Hsu, T.
616171b9-fbe3-4a5e-bc39-6e3a9db8c677
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
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), 715-719. (doi:10.1112/blms/bdn055).

Record type: Article

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.

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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
ORCID for I.J. Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 18 Oct 2011 11:16
Last modified: 15 Mar 2024 03:36

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Contributors

Author: T. Hsu
Author: I.J. Leary ORCID iD

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