Results 201 to 210 of about 189,122 (232)

Advanced fractional soliton solutions of the Joseph-Egri equation via Tanh-Coth and Jacobi function methods. [PDF]

Sci Rep
Shakeel K, Baleanu D, Abbas M, Yousif MA, Mohammed PO, Abdullah FA, Abdeljawad T.   +6 more
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A Map of the Lipid-Metabolite-Protein Network to Aid Multi-Omics Integration. [PDF]

Biomolecules
Anyaegbunam UA, Vagiona AC, Ten Cate V, Bauer K, Schmidlin T, Distler U, Tenzer S, Araldi E, Bindila L, Wild P, Andrade-Navarro MA.   +10 more
europepmc   +1 more source

On hyperbolic groups [PDF]

Journal of Group Theory, 2006
We prove that a δ-hyperbolic group for δ < 1 2 is a free product F ∗ G1 ∗ . . . ∗Gn where F is a free group of finite rank and each Gi is a finite group.
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On groups of hyperbolic length

Israel Journal of Mathematics, 1997
This paper concerns the function \(\ell(G)\), the length of the longest chain of subgroups of \(G\), for \(G\) a finite Lie type group. Such a group \(G\) is said to be of hyperbolic length if no chain of maximal length for \(G\) can include a parabolic subgroup.
Douglas P. Brozovic, Ronald Solomon
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Groups of hyperbolic crystallography

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
The aim of this paper is to describe the possible structures for NEC (non-euclidean crystallographic) groups of the hyperbolic plane with non-compact quotient space. The case of compact quotient space was settled by Wilkie (6), and it has been shown by Hoare, Karrass and Solitar (3) that all subgroups of infinite index in a Wilkie group have a certain ...
A. M. Macbeath, A. H. M. Hoare
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Hyperbolic reflection groups [PDF]

Russian Mathematical Surveys, 1985
An abstract group \(\Gamma\) with a finite set of generators \(R_i\) is called the Coxeter group if \(R^2_i=1\), \((R_i\cdot R_j)^{n_{ij}}=1\), where \(n_{ij}\geq 2\). \textit{J. Tits} [Symp. Math. 1, 175--185 (1969; Zbl 0206.03002)] proved that every Coxeter group with the finite set of generators is represented by the reflexive group discrete in some
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Hyperbolic Groups

2017
This chapter deals with hyperbolic groups. It begins with an overview of curvature, a fundamental way of understanding the intrinsic geometry of manifolds, and its three regimes—positive, zero, and negative. In terms of surfaces, each regime corresponds to the sphere, the plane, and the saddle, respectively.
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REGULARITY OF QUASIGEODESICS IN A HYPERBOLIC GROUP

International Journal of Algebra and Computation, 2003
We prove that for λ≥1 and all sufficiently large ∊, the set of (λ,∊)-quasigeodesics in an infinite word-hyperbolic group G is regular if and only if λ is rational. In fact, this set of quasigeodesics defines an asynchronous automatic structure for G.
Holt DF, Rees S
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Examples of Relatively Hyperbolic Groups

Geometriae Dedicata, 2002
The author uses ideas on weak hyperbolicity and relative hyperbolicity which originate in work of Gromov. He uses the following definition of weak hyperbolicity that has been formulated by \textit{B. Farb} [in Geom. Funct. Anal. 8, No. 5, 810-840 (1998; Zbl 0985.20027)].
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