A gathering process in Artin braid groups

被引：0

作者：

Esyp, Evgeinj S. ^{[1
]}

Kazachkov, Ilya V. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Math Inst, Omsk Branch, Omsk 644099, Russia

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2006年 / 16卷 / 04期

关键词：

braid groups; normal forms; rewriting systems;

D O I：

10.1142/S0218196706003190

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we construct a gathering process by the means of which we obtain new normal forms in braid groups. The new normal forms generalize Artin-Markoff normal forms and possess an extremely natural geometric description. In the two last sections of the paper we discuss the implementation of the introduced gathering process and the questions that arose in our work. This discussion leads us to some interesting observations, in particular, we offer a method of generating a random braid.

引用

页码：771 / 795

页数：25

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