A POSITIVE PRESENTATION FOR THE PURE BRAID GROUP

• 발행기관: 충청수학회
• 저자명: Eon Kyung Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 3, 555~561쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.09.30

영문 초록

For the pure braid groups, this paper gives a positive ¯nite presentation whose generators are the standard Artin gen- erators, and determines whether the submonoid generated by the Artin generators is a Garside monoid or not.

목차

1. Introduction

2. Garside monoids and groups

3. Proof of Theorem 1.1

4. Proof of Theorem 1.2

Acknowledgements

References