Blocked-Braid Groups

被引：0
作者：
D. Maglia
N. Sabadini
R. F. C. Walters
机构：
[1] Università dell’ Insubria,Dipartimento di Scienza e Alta Tecnologia
来源：
Applied Categorical Structures | 2015年 / 23卷
关键词：
Conjugacy Class; Symmetric Group; Braid Group; Monoidal Category; Surjective Homomorphism;
D O I：
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摘要：
We introduce and study a family of groups BBn, called the blocked-braid groups, which are quotients of Artin’s braid groups Bn, and have the corresponding symmetric groups Σn as quotients. They are defined by adding a certain class of geometrical modifications to braids. They arise in the study of commutative Frobenius algebras and tangle algebras in braided strict monoidal categories. A fundamental equation true in BBn is Dirac’s Belt Trick - that torsion through 4π is equal to the identity. We show that BBn is finite for n = 1, 2 and 3 but infinite for n > 3.
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页码：53 / 61
页数：8
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