Artin HNN-extensions virtually embed in Artin groups
classification
🧮 math.GR
math.GT
keywords
artinhnn-extensiongroupgroupsanalogouschosenconjugatescoxeter
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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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