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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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
Digital Object Identifier (DOI): doi:10.1112/blms/bdn055
ISSNs: 0024-6093 (print)
1469-2120 (electronic)
Subjects: Q Science > QA Mathematics
Divisions : Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics
ePrint ID: 199419
Accepted Date and Publication Date:
August 2008Published
23 June 2008Made publicly available
Date Deposited: 18 Oct 2011 11:16
Last Modified: 31 Mar 2016 13:45
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