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arXiv · 0802.1733

Artin HNN-extensions virtually embed in Artin groups

Tim Hsu·Ian J. Leary
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Abstract

An Artin HNN-extension is 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 an Artin HNN-extension embeds in an Artin group. We also obtain an analogous result for Coxeter groups.

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Tim Hsu, Ian J. Leary. 2008-02-12. Artin HNN-extensions virtually embed in Artin groups. https://doi.org/10.1112/blms/bdn055

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