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Rational growth in torus bundle groups of odd trace
Published online by Cambridge University Press: 06 December 2022
Abstract
A group is said to have rational growth with respect to a generating set if the growth series is a rational function. It was shown by Parry that certain torus bundle groups of even trace exhibits rational growth. We generalize this result to a class of torus bundle groups with odd trace.
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MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 65 , Issue 4 , November 2022 , pp. 1080 - 1132
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society
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