Dehornoy's ordering of the braid groups extends the subword ordering

被引:7
作者
Wiest, B [1 ]
机构
[1] Univ Aix Marseille 1, F-13453 Marseille 13, France
关键词
D O I
10.2140/pjm.1999.191.183
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a simple proof of the result of Laver and Burckel that inserting a conjugate of a positive standard generator of the braid group anywhere in a given braid yields a braid which is larger in the sense of Dehornoy.
引用
收藏
页码:183 / 188
页数:6
相关论文
共 8 条
[1]  
BIRMAN JS, 1975, ANN MATH STUDIES, V82
[2]   The wellordering on positive braids [J].
Burckel, S .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1997, 120 (01) :1-17
[3]   A fast method for comparing braids [J].
Dehornoy, P .
ADVANCES IN MATHEMATICS, 1997, 125 (02) :200-235
[4]   BRAID-GROUPS AND LEFT DISTRIBUTIVE OPERATIONS [J].
DEHORNOY, P .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 345 (01) :115-150
[5]   ALGORITHMS FOR POSITIVE BRAIDS [J].
ELRIFAI, EA ;
MORTON, HR .
QUARTERLY JOURNAL OF MATHEMATICS, 1994, 45 (180) :479-497
[6]   Ordering the braid groups [J].
Fenn, R ;
Greene, MT ;
Rolfsen, D ;
Rourke, C ;
Wiest, B .
PACIFIC JOURNAL OF MATHEMATICS, 1999, 191 (01) :49-74
[7]  
Higman G., 1952, Proc. Lond. Math. Soc., V2, P326, DOI 10.1112/plms/s3-2.1.326
[8]   Braid group actions on left distributive structures, and well orderings in the braid groups [J].
Laver, R .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1996, 108 (01) :81-98