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math.GR2020
Rational growth in torus bundle groups of odd trace
Seongjun Choi, Meng-Che "Turbo" Ho, Mark Pengitore
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 group…
math.GR2020
Geometry of non-transitive graphs
Josiah Oh, Mark Pengitore
In this note, we study non-transitive graphs and prove a number of results when they satisfy a coarse version of transitivity. Also, for each finitely generated group , we produ…