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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 ...
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An Authenticated Key Agreement Protocol Using Artins Braid Group

International Journal of Computer Sciences and Engineering, 2017
Atul Chaturvedi, Manoj Kumar Misra, S.P. Tripathi, Varun Shukla   +3 more
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On some Finite-Dimensional Representations of Artin Braid Group

, 2011
Валентин В. Илиев - Авторът изучава някои хомоморфни образи G на групата на Артин на плитките върху n нишки в крайни симетрични групи. Получените пермутационни групи G са разширения на симетричната група върху n букви чрез подходяща абелева група. Разширенията G зависят от един целочислен параметър q ≥ 1 и се разцепват тогава и само тогава, когато 4 ...
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Artin braid groups and homotopy groups

Proceedings of the London Mathematical Society, 2009
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 ...
Li, J., Wu, J.
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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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Braid lift representations of Artin's Braid Group

Journal of Knot Theory and Its Ramifications, 2000
We recast the braid-lift representation of Contantinescu, Lüdde and Toppan in the language of B-type braid theory. Composing with finite dimensional representations of these braid groups we obtain various sequences of finite dimensional multi-parameter representations.
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Finite Hurwitz braid group actions for Artin groups

Israel Journal of Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Markov classes in certain finite quotients of artin’s braid group

Israel Journal of Mathematics, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Birman, Joan S., Wajnryb, Bronislaw
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Artin’s braids, braids for three space, and groups Γn4 and Gnk

Journal of Knot Theory and Its Ramifications, 2019
We construct a group [Formula: see text] corresponding to the motion of points in [Formula: see text] from the point of view of Delaunay triangulations. We study homomorphisms from pure braids on [Formula: see text] strands to the product of copies of [Formula: see text].
S. Kim, V. O. Manturov
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On certain representations of Artin braid group

Studia Scientiarum Mathematicarum Hungarica, 2014
We are studying the representations of Artin’s braid group Bn.
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