English

Rational growth in torus bundle groups of odd trace

Group Theory 2020-12-16 v1

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.

Keywords

Cite

@article{arxiv.2012.07995,
  title  = {Rational growth in torus bundle groups of odd trace},
  author = {Seongjun Choi and Meng-Che "Turbo" Ho and Mark Pengitore},
  journal= {arXiv preprint arXiv:2012.07995},
  year   = {2020}
}
R2 v1 2026-06-23T20:58:24.572Z