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rational growth

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Rational growth in torus bundle groups of odd trace
Part of
- Special aspects of infinite or finite groups
Seongjun Choi, Meng-Che “Turbo” Ho, Mark Pengitore
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 65 / Issue 4 / November 2022

Published online by Cambridge University Press:

06 December 2022, pp. 1080-1132
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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.