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arxiv: 2211.13326 · v3 · pith:RPML2E4A · submitted 2022-11-23 · math.GR · math.GT

Girth Alternative for HNN Extensions

Azer Akhmedov , Pratyush Mishra This is my paper

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classification math.GR math.GT
keywords alternativeextensionsgirthbeyondclasscounterexamplesfailsfinitely
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We prove the Girth Alternative for a sub-class of the HNN extensions of finitely generated groups. We also produce counterexamples to show that beyond our class, the alternative fails in general.

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