Experiments on growth series of braid groups

被引：0

作者：

Fromentin, Jean ^{[1
]}

机构：

[1] Univ Littoral Cote dOpale, UR 2597, LMPA, Lab Math Pures & Appl Joseph Liouville, F-62100 Calais, France

来源：

JOURNAL OF ALGEBRA | 2022年 / 607卷

关键词：

Braid group; Spherical growth series; Geodesic growth series; Algorithm;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.(c) 2021 Elsevier Inc. All rights reserved.

引用

页码：232 / 259

页数：28

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