Artin Covers of the Braid Groups
نویسنده
چکیده
Computation of fundamental groups of Galois covers recently led to the construction and analysis of Coxeter covers of the symmetric groups [RTV]. In this paper we consider analog covers of Artin’s braid groups, and completely describe the induced geometric extensions of the braid group.
منابع مشابه
Artin Braid Groups and Homotopy Groups
We study the Brunnian subgroups and the boundary Brunnian subgroups of the Artin braid groups. The general higher homotopy groups of the sphere are given by mirror symmetric elements in the quotient groups of the Artin braid groups modulo the boundary Brunnian braids, as well as given as a summand of the center of the quotient groups of Artin pure braid groups modulo boundary Brunnian braids. T...
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1 0.1. Braid groups 1 0.2. Artin–Tits groups 2 1. The general case 2 1.1. The word reversing technique 3 1.2. Artin–Tits monoids 4 1.3. Artin–Tits groups 5 1.4. Exercises 5 2. The spherical case 6 2.1. Background about Coxeter groups 6 2.2. Garside structure 7 2.3. Normal form 7 2.4. Exercises 8 3. The braid case 9 3.1. The Artin representation 10 3.2. Handle reduction 11 3.3. The braid orderin...
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