The Algebra of Strand Splitting Ii: a Presentation for the Braid Group on One Strand
The Algebra of Strand Splitting Ii: a Presentation for the Braid Group on One Strand
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股分裂代数 Ii：单股辫群的演示
DOI：
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发表时间：
2004
影响因子：
0.8
通讯作者：
Matthew G. Brin
中科院分区：
文献类型：
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作者：
Matthew G. Brin
作者之前介绍了群BV和作为理查德·汤普森介绍的群的编织版本，并与编织张量范畴有联系。在这里，我们表明，BV和是通过展示他们的有限介绍。我们表明，这些群体是“Artinifications”的老汤普森组V和显示，演示V和可以从演示BV和通过添加关系，trivialize后者的发电机的平方。
The author previously introduced groups BV and as braided versions of groups introduced by Richard J. Thompson, and as having connections to braided tensor categories. Here we show that BV and are finitely presented by exhibiting finite presentations for them. We show that these groups are "Artinifications" of the older Thompson groups V and by showing that presentations for V and can be obtained from presentations for BV and by adding relations that trivialize the squares of the generators of the latter groups.