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.
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics
|Date Deposited:||18 Oct 2011 11:16|
|Last Modified:||16 May 2014 14:00|
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