Results 31 to 40 of about 267 (215)
The Interplay between Linear Representations of the Braid Group
International Journal of Mathematics and Mathematical Sciences, 2007 We consider Wada's representation as a twisted version of the standard action of the braid group, Bn, on the free group with n generators. Constructing a free group, Gnm, of rank nm, we compose Cohen's map Bn→Bnm and the embedding Bnm→Aut(Gnm) via Wada's
Mohammad N. Abdulrahim, Nibal H. Kassem
doaj +1 more source
Megamaps: Construction and Examples [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We consider the usual model of hypermaps or, equivalently, bipartite maps, represented by pairs of permutations that act transitively on a set of edges E.
Alexander Zvonkin
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
Cluster Structures on Double Bott–Samelson Cells
Forum of Mathematics, Sigma, 2021 Let $\mathsf {C}$ be a symmetrisable generalised Cartan matrix. We introduce four different versions of double Bott–Samelson cells for every pair of positive braids in the generalised braid group associated to $\mathsf {C}$ .
Linhui Shen, Daping Weng
doaj +1 more source
Key agreement protocol in infinite semigroup representation level
Lietuvos Matematikos Rinkinys, 2007 Matrix decomposition problem over integer ring is presented. Solving methods are discussed and it is showed, that this problem is hard computational problem regard to computer memory resources.
Artūras Katvickis +2 more
doaj +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Facioscapulohumeral muscular dystrophy (FSHD) is one of the most debilitating and common muscular dystrophies. Despite its severity, no approved therapy exists for FSHD patients. However, several therapeutic candidates are currently under development, and some have recently entered clinical trials, marking the need for reliable ...
Mustafa Bilal Bayazit +11 more
wiley +1 more source
On the unrestricted virtual singular braid
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet n, m ∈ ℕ, n ≥ 3 and n ≥ m ≥ 2. In this paper, we study some properties of the unrestricted virtual singular braid of braid monoid UVSBmn and group UVSGmn.
Ligouras Panagiote
doaj +1 more source
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
doaj +1 more source
ON WORD REVERSING IN BRAID GROUPS [PDF]
International Journal of Algebra and Computation, 2006 It has been conjectured that in a braid group, or more generally in a Garside group, applying any sequence of monotone equivalences and word reversings can increase the length of a word by at most a linear factor depending on the group presentation only.
Dehornoy, Patrick, Wiest, Bert
openaire +4 more sources
Trajectories of Physical Function in Canadian Children With Juvenile Idiopathic Arthritis
Arthritis Care &Research, EarlyView.Objective We describe trajectories of physical function in children newly diagnosed with juvenile idiopathic arthritis (JIA) and identify trajectories with persisting functional impairments and associated baseline characteristics. Methods We included patients enrolled in the Canadian Alliance of Pediatric Rheumatology Investigators (CAPRI) Registry ...
Clare Cunningham +81 more
wiley +1 more source