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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), pp. 715-719. (doi:10.1112/blms/bdn055).

Record type: Article


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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e-pub ahead of print date: 23 June 2008
Published date: August 2008
Organisations: Pure Mathematics


Local EPrints ID: 199419
ISSN: 0024-6093
PURE UUID: 1c6ad90e-7fab-4d3c-b0b4-aa4a3db018e1
ORCID for I.J. Leary: ORCID iD

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Date deposited: 18 Oct 2011 11:16
Last modified: 18 Jul 2017 11:16

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

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