Results 21 to 30 of about 1,787 (166)
Mathematics, 2023 In this paper, by introducing an isomorphism from the Mihailova subgroup of F2×F2 to the Mihailova subgroups of a braid group, we give an explicit presentation of Mihailova subgroups of a braid group.
Hanling Lin, Xiaofeng Wang, Min Li
doaj +1 more source
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 semi-associators from universal representations of 3-braids.
Berceanu, Barbu, Papadima, Ştefan
openaire +3 more sources
Connected Components of H_(r,g)^A (G)
Sultan Qaboos University Journal for Science, 2018 The Hurwitz space is the space of genus g covers of the Riemann sphere with branch points and the monodromy group . In this paper, we enumerate the connected components of the Hurwitz spaces for a finite primitive group of degree 7 and genus ...
Haval M. Mohammed Salih
doaj +1 more source
The key exchange protocol based on non-commutative elements of Clifford algebra [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 Many of the asymmetric cryptography protocols are based on operations performed on commutative algebraic structures, which are vulnerable to quantum attacks.
Chukanov, Sergei N.
doaj +1 more source
Comparative analysis of tensile strength between three types of retraction cords [PDF]
Folia Medica, 2023 Introduction: Gingival retraction is the withdrawal of the marginal gingiva away from the tooth. This procedure creates a space between the prepared tooth and the gingival tissues to catch more fine details of the impression material.
Desislava R. Makakova +2 more
doaj +3 more sources
BMC Oral Health, 2023 Background Retainer is a necessary procedure when orthodontic treatment complete to avoid relapse due to periodontal fiber elasticity and to allow for alveolar bone regeneration.
Abdullah A. Alabbadi +3 more
doaj +1 more source
Monodromy representations of Jordan-Pochhammer systems
Современная математика: Фундаментальные направленияIn this paper, we consider Burau representations of braid groups and Gassner representations of pure braid groups, and their realization as monodromy representations of Jordan-Pochhammer systems with suitable parameters.
V. P. Leksin
doaj +1 more source
A BRAIDED SIMPLICIAL GROUP [PDF]
Proceedings of the London Mathematical Society, 2002 By studying the braid group action on Milnor's construction of the 1-sphere, we show that the general higher homotopy group of the 3-sphere is the fixed set of the pure braid group action on certain combinatorially described groups. This establishes a relation between the braid groups and the homotopy groups of the sphere.2000Mathematical Subject ...
openaire +3 more sources
A polynomial algorithm for the braid double shielded public key cryptosystems
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 We propose new provable practical deterministic polynomial time algorithm of cryptographic analysis for the braid Wang, Xu, Li, Lin and Wang «Double shielded public key cryptosystems», where the authors recommended the Artin braid groups Bn as platforms
V.A. Roman’kov
doaj +1 more source
Curve graphs for Artin–Tits groups of type B, A∼ and C∼ are hyperbolic
Transactions of the London Mathematical Society, 2021 The graph of irreducible parabolic subgroups is a combinatorial object associated to an Artin–Tits group A defined so as to coincide with the curve graph of the (n+1)‐times punctured disk when A is Artin's braid group on (n+1) strands.
Matthieu Calvez +1 more
doaj +1 more source