Results 41 to 50 of about 1,787 (166)
Dehornoy’s ordering on the braid group and braid moves [PDF]
St. Petersburg Mathematical Journal, 2004 This paper is concerned with moves which preserve the link type of the closure of a braid. These include the classical Markov moves which increase or decrease the number of strings, and the exchange and flype moves of Birman and Menasco. The authors give restrictions in terms of Dehornoy's order to ensure that a braid does not admit a non-trivial move ...
Malyutin, A. V., Netsvetaev, N. Yu.
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Shear Bond Strength of Four Types of Orthodontic Retainers after Thermocycling and Cyclic Loading
International Journal of Dentistry, 2021 Objectives. This study assessed the shear bond strength (SBS) of four types of orthodontic retainers after thermocycling and cyclic loading. Materials and Methods.
A. Golshah, Z. Amiri Simkooei
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Braid Groups are Linear Groups
Advances in Mathematics, 1996 Let \(B_n\) denote the braid group on \(n\) strings. \(B_2\) is infinite cyclic and hence is a linear group. It is well-known that \(B_3\) is also a linear group. But it has remained an open problem as to whether any other braid groups are linear.
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MUTUAL BRAIDING AND THE BAND PRESENTATION OF BRAID GROUPS [PDF]
Knots in Hellas '98, 2000 This paper is concerned with detecting when a closed braid and its axis are 'mutually braided' in the sense of Rudolph. It deals with closed braids which are fibred links, the simplest case being closed braids which present the unknot. The geometric condition for mutual braiding refers to the existence of a close control on the way in which the whole ...
Morton, HR, Rampichini, M
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Quantum groups and Yang-Baxter equations
Natural Science ReviewThis introductory review is devoted to the newest section of the theory of symmetries -- the theory of quantum groups. The principles of the theory of quantum groups are reviewed from the point of view of the possibility of their use for deformations ...
A. P. Isaev
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Orbifold braid groups and complex braid groups
, 2023 A result of Allock [1](arXiv:math/9907194) states that certain orbifold braid groups contain Artin groups of type $D_n$, $\tilde{B}_n$ and $\tilde{D}_n$ as finite index subgroups. The underlying orbifolds have at most two cone points of order two. Based on [10](arXiv:2305.04273) and [12](arXiv:2305.04273), we generalize this result allowing cone points
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Mean-set attack: cryptanalysis of Sibert et al. authentication protocol
Journal of Mathematical Cryptology, 2010 We analyze the Sibert et al. group-based (Feige–Fiat–Shamir type) authentication protocol and show that the protocol is not computationally zero-knowledge.
Mosina Natalia, Ushakov Alexander
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A Canine Non-Weight-Bearing Model with Radial Neurectomy for Rotator Cuff Repair. [PDF]
PLoS ONE, 2015 The major concern of using a large animal model to study rotator cuff repair is the high rate of repair retears. The purpose of this study was to test a non-weight-bearing (NWB) canine model for rotator cuff repair research.First, in the in vitro study ...
Xiaoxi Ji +5 more
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The braid group injects in the virtual braid group
, 2020 The virtual braid groups are generalizations of the classical braid groups. This paper gives an elementary proof that the classical braid group injects into the virtual braid group over the same number of strands.
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Presentations of graph braid groups [PDF]
Forum Mathematicum, 2012 Abstract. Let be a graph. The (unlabeled) configuration space of n points on is the space of n-element subsets of . The n-strand braid group of , denoted , is the fundamental group of . This paper applies the methods of discrete Morse theory to the spaces .
Farley, Daniel, Sabalka, Lucas
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