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arXiv · 2012.07995

Rational growth in torus bundle groups of odd trace

Abstract

A group is said to hae a rational growth with respect to the generating set if the growth series is a rational polynomial. It was shown by Parry that a subset of torus bundle groups exhibits rational growth. We generalize this result to other torus bundle groups.

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Seongjun Choi, Meng-Che "Turbo" Ho, Mark Pengitore. 2020-12-14. Rational growth in torus bundle groups of odd trace. https://arxiv.org/abs/2012.07995

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