منابع مشابه
A Gathering Process in Artin Braid Groups
In this paper we construct a gathering process by the means of which we obtain new normal forms in braid groups. The new normal forms generalise Artin-Markoff normal forms and possess an extremely natural geometric description. In the two last sections of the paper we discuss the implementation of the introduced gathering process and the questions that arose in our work. This discussion leads u...
متن کاملBraid Pictures for Artin Groups
We define the braid groups of a two-dimensional orbifold and introduce conventions for drawing braid pictures. We use these to realize the Artin groups associated to the spherical Coxeter diagrams An, Bn = Cn and Dn and the affine diagrams Ãn, B̃n, C̃n and D̃n as subgroups of the braid groups of various simple orbifolds. The cases Dn, B̃n, C̃n and D̃n are new. In each case the Artin group is a normal...
متن کاملArtin 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...
متن کاملArtin Covers of the Braid Groups
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.
متن کاملEmbeddings of graph braid and surface groups in right-angled Artin groups and braid groups
We prove by explicit construction that graph braid groups and most surface groups can be embedded in a natural way in right-angled Artin groups, and we point out some consequences of these embedding results. We also show that every right-angled Artin group can be embedded in a pure surface braid group. On the other hand, by generalising to rightangled Artin groups a result of Lyndon for free gr...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2006
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196706003190