Finite Thurston type orderings on dual braid monoids
Finite Thurston type orderings on dual braid monoids
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双辫幺半群上的有限 Thurston 型排序
DOI：
10.1142/s0218216511009078
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发表时间：
2011
影响因子：
0.5
通讯作者：
Tetsuya Ito
中科院分区：
文献类型：
--
作者：
Yuhei Takagi;Yoichi Itoh;Yumiko Oasa;Koji Sugitani;Tetsuya Ito
对于辫群Bn的有限thurston型序<，我们引入了对偶正辫的一种新的正规形式，我们称之为正规形式，它对计算辫群的序很有用。这种范式扩展了Fromentin的旋转范式和作者的正辫范式。利用范式，给出了对偶编织模群的序<约束的组合描述。证明了对偶正单群的约束是阶型ωωn-2的良序集。
For a finite Thurston-type ordering < of the braid group Bn, we introduce a new normal form of a dual positive braid which we call the-normal form, which is useful to compute the ordering. This normal form extends Fromentin's rotating normal form and the author's-normal form of positive braids. Using the-normal form, we give a combinatorial description of the restriction of the ordering < to the dual braid monoids. We prove that the restriction to the dual positive monoidis a well-ordered set of the order type ωωn-2.