Results 11 to 20 of about 321 (123)

Graph braid groups and right-angled Artin groups [PDF]

Transactions of the American Mathematical Society, 2011
We give a necessary and sufficient condition for a graph to have a right-angled Artin group as its braid group for braid index ≥
Kim, JH Kim, Jee-Hyoun, Ko, KH Ko, Ki-Hyoung, Park, HW Park, Hyo-Won   +2 more
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Membership problems in braid groups and Artin groups [PDF]

Journal of the London Mathematical Society
Abstract We study several natural decision problems in braid groups and Artin groups. We classify the Artin groups with decidable submonoid membership problem in terms of the nonexistence of certain forbidden‐induced subgraphs of the defining graph.
Gray, Robert D., Nyberg-Brodda, Carl-Fredrik   +1 more
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ARTIN COVERS OF THE BRAID GROUPS

Journal of Knot Theory and Its Ramifications, 2012
Computation of fundamental groups of Galois covers recently led to the construction and analysis of Coxeter covers of the symmetric groups [L. H. Rowen, M. Teicher and U. Vishne, Coxeter covers of the symmetric groups, J. Group Theory8 (2005) 139–169]. In this paper we consider analog covers of Artin's braid groups, and completely describe the induced ...
Amram, Meirav, Lawrence, Ruth, Vishne, Uzi   +2 more
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Results on the singular extension of Artin groups and virtual braid groups

, 2020
This thesis offers to study two objects related to singular braid monoids, the desingularization map and the family of Vassiliev invariants, in the respective framework of the singular Artin monoids and the singular virtual braid monoids. In the first chapter, we recall the definitions of these two objects in their original setting, namely the setting ...
Gandolfi, Guillaume
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A GATHERING PROCESS IN ARTIN BRAID GROUPS [PDF]

International Journal of Algebra and Computation, 2006
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 generalize 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 ...
Evgeinj S. Esyp, Ilya V. Kazachkov
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Braid pictures for Artin groups [PDF]

Transactions of the American Mathematical Society, 2002
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 A_n, B_n=C_n and D_n and the affine diagrams tilde{A}_n, tilde{B}_n, tilde{C}_n and tilde{D}_n as subgroups of the braid groups of various simple orbifolds ...
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One-dimensional actions of Higman's group

Discrete Analysis, 2019
One-dimensional actions of Higman's group, Discrete Analysis 2019:20, 15 pp. In 1951 Higman constructed the first known example of an infinite finitely generated simple group. He began with the group $H$ that has presentation $\langle a,b,c,d|aba^{-1}=b^
Cristobal Rivas, Michele Triestino
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On representations of Artin–Tits and surface braid groups

Journal of Group Theory, 2011
AbstractWe define and study extensions of the Artin and Perron–Vannier representations of braid groups to topological and algebraic generalizations of braid groups. We provide faithful representations of braid groups of oriented surfaces with boundary as automorphisms of finitely generated free groups.
Bardakov, Valeriy G., Bellingeri, Paolo
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Braid groups and Artin groups [PDF]

, 2009
This article is a survey on the braid groups, the Artin groups, and the Garside groups. It is a presentation, accessible to non-experts, of various topological and algebraic aspects of these groups. It is also a report on three points of the theory: the faithful linear representations, the cohomology, and the geometrical representations.
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Some Aspects of Mathematical and Physical Approaches for Topological Quantum Computation [PDF]

Computer Science Journal of Moldova, 2011
A paradigm to build a quantum computer, based on topological invariants is highlighted. The identities in the ensemble of knots, links and braids originally discovered in relation to topological quantum field theory are shown: how they define Artin ...
V. Kantser
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