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Rational growth in torus bundle groups of odd trace

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  06 December 2022

Seongjun Choi ,
Meng-Che “Turbo” Ho  and
Mark Pengitore
Seongjun Choi
Affiliation:
Purdue University, West Lafayette, IN 47907, USA (sjchoi235@gmail.com)
Meng-Che “Turbo” Ho
Affiliation:
California State University Northridge, Northridge, CA 91330, USA (turboho@gmail.com)
Mark Pengitore
Affiliation:
University of Virginia, Charlottesville, VA 22903, USA (waj9cr@virginia.edu)
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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.

Keywords

solvable groupsrational growth

MSC classification

Primary: 20F16: Solvable groups, supersolvable groups
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 65 , Issue 4 , November 2022 , pp. 1080 - 1132
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society

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