论文标题

编织组成长系列的实验

Experiments on growth series of braid groups

论文作者

Fromentin, Jean

论文摘要

我们介绍了一个算法框架,以相对于Artin或Birman-ko-Lee的发电机研究球形和地球生长群体。我们介绍了有关Birman-Ko-Lee的发电机的三个和四个链和四个链的实验,并为球形生长序列的猜想有理表达式进行了实验。

We introduce an algorithmic framework to investigate spherical and geodesic growth series of braid groups relatively to the Artin's or Birman-Ko-Lee's generators. We present our experimentations in the case of three and four strands and conjecture rational expressions for the spherical growth series with respect to the Birman-Ko-Lee's generators.

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