论文标题

奇数痕迹的圆环束的合理增长

Rational growth in torus bundle groups of odd trace

论文作者

Choi, Seongjun, Ho, Meng-Che "Turbo", Pengitore, Mark

论文摘要

据说,如果增长序列是一个合理的多项式,则相对于生成集的群体具有合理的增长。帕里(Parry)表明,圆环束组的一部分表现出合理的生长。我们将此结果推广到其他圆环捆绑组。

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.

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