Dehornoy’s ordering on the braid group and braid moves

Dehornoy’s ordering on the braid group and braid moves
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德霍诺伊对辫子组的排序和辫子动作

DOI:
10.1090/s1061-0022-04-00816-7
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发表时间:
2004
影响因子:
0.8
通讯作者:
Netsvetaev
Netsvetaev
中科院分区:
数学4区
文献类型:
--
作者:
A. Malyutin;YU N.;Netsvetaev

文献摘要

被引文献

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In terms of Dehornoy’s ordering on the braid group Bn, restrictions are found that prevent us from performing the Markov destabilization and the Birman– Menasco braid moves. As a consequence, a sufficient condition is obtained for the link represented by a braid to be prime, and it is shown that all braids in Bn that are not minimal lie in a finite interval of Dehornoy’s ordering.