Braids with Trivial Simple Centralizer  

作　　者：U. Ali F. Azam I. Javaid A. Haider 

机构地区：[1]Center for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya University, Multan, Pakistan [2]Department of Mathematics, Jazan University, Jazan, Saudi Arabia

出　　处：《Algebra Colloquium》2015年第4期561-566,共6页代数集刊（英文版）

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.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.

关 键 词：simple braid simple centralizer commuting graph 

分 类 号：TE933.2[石油与天然气工程—石油机械设备] O153.3[理学—数学]