Results 1 to 10 of about 45,146 (178)
Universal representations of braid and braid-permutation groups [PDF]
Journal of Knot Theory and Its Ramifications, 2009 Drinfel'd used associators to construct families of universal representations of braid groups. We consider semi-associators (i.e., we drop the pentagonal axiom and impose a normalization in degree one). We show that the process may be reversed, to obtain
Berceanu, Barbu, Papadima, Stefan
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Effect of different fixed lingual retainers on tooth mobility: prospective clinical study [PDF]
Acta Odontologica ScandinavicaObjective: The aim of this study was to compare the effects of different fixed lingual retainers (LRs) on tooth mobility after orthodontic treatment at the 10-month follow-up.
Eyüp Burak Küçük +3 more
doaj +2 more sources
Journal of Pharmacy and Bioallied SciencesBackground and Objectives: Posttreatment tooth movement, or relapse, is a common challenge in orthodontics. Bonded retainers are widely used to preserve corrected tooth positions.
N Harish Kumar +5 more
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On Efficient Presentations of the Groups PSL $(2, m)$ [PDF]
International Journal of Group Theory, 2022 We exhibit presentations of the Von Dyck groups $D(2, 3, m), \ m\ge 3$, in terms of two generators of order $m$ satisfying three relations, one of which is Artin's braid relation. By dropping the relation which fixes the order of the generators we obtain
Orlin Stoytchev
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The Burau representations of loop braid groups
Comptes Rendus. Mathématique, 2022 We give a simple topological construction of the Burau representations of the loop braid groups. There are four versions: defined either on the non-extended or extended loop braid groups, and in each case there is an unreduced and a reduced version ...
Palmer, Martin, Soulié, Arthur
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Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence
Mathematics, 2021 In this note, we first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way).
Steven Duplij
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Key agreement protocol in Braid group representation level
Lietuvos Matematikos Rinkinys, 2021 In this paper the key agreement protocol is given and the applicationof it in Braid groups is suggested. The one way of protocol is being justified.
Povilas Tvarijonas +2 more
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On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants
Bulletin of Mathematical Sciences, 2021 Recently, the first named author defined a 2-parametric family of groups Gnk [V. O. Manturov, Non–reidemeister knot theory and its applications in dynamical systems, geometry and topology, preprint (2015), arXiv:1501.05208].
Vassily O. Manturov +3 more
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Effect of Er: YAG Laser Enamel-etching and Sandblasting on the Bond Strength of Fixed Lingual Retainers [PDF]
Iranian Journal of Orthodontics, 2022 Aim: This study aims to compare the shear bond strength (SBS) of different combinations of retainer wires and enamel preparation methods.Methods: A total of 180 extracted mandibular bovine incisors were randomly divided into nine groups of 20 paired ...
Mahdjoube Goldani Moghadam +2 more
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Polyadic Braid Operators and Higher Braiding Gates
Universe, 2021 A new kind of quantum gates, higher braiding gates, as matrix solutions of the polyadic braid equations (different from the generalized Yang–Baxter equations) is introduced. Such gates lead to another special multiqubit entanglement that can speed up key
Steven Duplij, Raimund Vogl
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