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Preprint Number 2669

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2669. Monika Kudlinska and Motiejus Valiunas
Free-by-cyclic groups are equationally Noetherian
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Submission date: 11 July 2024

Abstract:

We show that all free-by-cyclic groups are equationally Noetherian. As a corollary, we deduce that the set of exponential growth rates of a free-by-cyclic group is well ordered.

Mathematics Subject Classification: 20F70, 20E36, 20E08, 20F69

Keywords and phrases:

Full text arXiv 2407.08809: pdf, ps.


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