Braids with Trivial Simple Centralizer

• 作者: A. Haider F. Azam I. Javaid U. Ali
• 来源期刊: 代数集刊:英文版
• 学科: 工学
• 关键词: 扶正器 辫子 组成部分 发电机 交通图 证明
• 年，卷（期）: 2015,（4）
• 页码范围: 561-566
• 页数: 6页
• 分类号: TE933.2
• 语种: 中文

摘要

In this paper, we prove that the n-simple braid divisible by the generators xi for all 2 ≤ i ≤n - 2 has trivial simple centralizer. Consequently, the commuting graph defined on the set of simple braids is disconnected. We also prove that the graph has one major component.