Results 51 to 60 of about 1,787 (166)
Journal of Knot Theory and Its Ramifications, 2015 In this paper, we introduce [Formula: see text]-braids and, more generally, [Formula: see text]-braids for an arbitrary group [Formula: see text]. They form a natural group-theoretic counterpart of [Formula: see text]-knots, see [V. O. Manturov; Reidemeister moves and groups, preprint (2014), arXiv:1412.8691].
Fedoseev, Denis A. +2 more
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Journal of Indian Orthodontic SocietyAim and Objectives The present study aims at evaluation and comparison of durability and hygiene between 2 different lingual retainer wires bonded between premolar to premolar, that is, maxillary or mandibular arch in the same patient.
Nitu Gautam +5 more
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Intersection of parabolic subgroups in Euclidean braid groups: a short proof
Comptes Rendus. MathématiqueWe give a short proof for the fact, already proven by Thomas Haettel, that the arbitrary intersection of parabolic subgroups in Euclidean Braid groups $A[\tilde{A}_n]$ is again a parabolic subgroup. To that end, we use that the spherical-type Artin group
Cumplido, María +2 more
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Hurwitz components of groups with socle PSL(3, q)
Extracta Mathematicae, 2021 For a finite group G, the Hurwitz space Hinr,g(G) is the space of genus g covers of the Riemann sphere P1 with r branch points and the monodromy group G. In this paper, we give a complete list of some almost simple groups of Lie rank two.
H.M. Mohammed Salih
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Security analysis of key agreement protocol based on matrix power function
Lietuvos Matematikos Rinkinys, 2012 Key agreement protocol (KAP) using Burau braid groups representation and matrix power function (MPF) is analyzed. MPF arguments are Burau representation matrices defined over finite field or ring.
Paulius Vitkus, Eligijus Sakalauskas
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BMC Oral Health, 2022 Background Retention is an important aspect of orthodontic treatment. This study aimed to analyze the survival of three types of maxillary and mandibular bonded orthodontic retainers.
Navid Rezaei +2 more
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A 3-skeleton for a classifying space for the symmetric group
Journal of Computational AlgebraWe construct a 3-dimensional cell complex that is the 3-skeleton for an Eilenberg–MacLane classifying space for the symmetric group Sn. Our complex starts with the presentation for Sn with n−1 adjacent transpositions with squaring, commuting, and braid ...
Matthew B. Day, Trevor Nakamura
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The group of parenthesized braids
Advances in Mathematics, 2006 We investigate a group $B\_\bullet$ that includes Artin's braid group $B\_\infty$ and Thompson's group $F$. The elements of $B\_\bullet$ are represented by braids diagrams in which the distances between the strands are not uniform and, besides the usual crossing generators, new rescaling operators shrink or strech the distances between the strands.
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Machine learning of knot topology in non-Hermitian band braids
Communications PhysicsThe deep connection among braids, knots and topological physics has provided valuable insights into studying topological states in various physical systems. However, identifying distinct braid groups and knot topology embedded in non-Hermitian systems is
Jiangzhi Chen +4 more
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Journal of Knot Theory and Its Ramifications, 2015 In [Non-reidemeister knot theory and its applications in dynamical systems, geometry, and topology, preprint (2015), arXiv:1501.05208.] the first author gave the definition of [Formula: see text]-free braid groups [Formula: see text]. Here we establish connections between free braid groups, classical braid groups and free groups: we describe ...
Manturov, Vassily Olegovich +1 more
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