Results 31 to 40 of about 189,122 (232)
Group Classification and Conservation Laws of a Class of Hyperbolic Equations
Abstract and Applied Analysis, 2021 s. A method for the group classification of differential equations is proposed. It is based on the determination of all possible cases of linear dependence of certain indeterminates appearing in the determining equations of symmetries of the equation ...
J. C. Ndogmo
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Relative Growth in Hyperbolic Groups [PDF]
Monatshefte für Mathematik, 2021 AbstractIn this note we obtain estimates on the relative growth of normal subgroups of non-elementary hyperbolic groups, particularly those with free abelian quotient. As a corollary, we deduce that the associated relative growth series fail to be rational.
Stephen Cantrell, Richard Sharp
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Knapsack in Hyperbolic Groups [PDF]
Journal of Algebra, 2018 Recently knapsack problems have been generalized from the integers to arbitrary finitely generated groups. The knapsack problem for a finitely generated group $G$ is the following decision problem: given a tuple $(g, g_1, \ldots, g_k)$ of elements of $G$, are there natural numbers $n_1, \ldots, n_k \in \mathbb{N}$ such that $g = g_1^{n_1} \cdots g_k ...
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Proceedings of the American Mathematical Society, 2004 In this paper we study the groups G {\mathcal {G}} whose integral group rings have hyperbolic unit groups U ( Z G ) {\mathcal {U}(\mathbb {Z} {\mathcal {G}}) } .
Dipendra Prasad +2 more
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CANNON–THURSTON MAPS DO NOT ALWAYS EXIST
Forum of Mathematics, Sigma, 2013 We construct a hyperbolic group with a hyperbolic subgroup for which inclusion does not induce a continuous map of the boundaries.
O. BAKER, T. R. RILEY
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Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity [PDF]
, 2008 We study the geometry of nonrelatively hyperbolic groups. Generalizing a result of Schwartz, any quasi-isometric image of a non-relatively hyperbolic space in a relatively hyperbolic space is contained in a bounded neighborhood of a single peripheral ...
Behrstock, Jason +2 more
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Type-I hyperbolic metasurfaces for highly-squeezed designer polaritons with negative group velocity
Nature Communications, 2019 Hyperbolic polaritons provide unprecedented control over light-matter interaction at extreme nanoscales. Here, the authors propose type-I hyperbolic metasurfaces supporting highly-squeezed magnetic designer polaritons with negative group velocity, which ...
Yihao Yang +6 more
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On the boundedness of invariant hyperbolic domains
Comptes Rendus. Mathématique, 2020 In this paper, we generalize a theorem of A. Kodama about boundedness of hyperbolic circular domains. We will prove that if $K$ is a compact Lie group which acts linearly on $\mathbb{C}^n$ with $\mathcal{O}(\mathbb{C}^n)^K=\mathbb{C}$, and $\Omega $ is a
Ning, Jiafu, Zhou, Xiangyu
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Finite groups and hyperbolic manifolds [PDF]
Inventiones mathematicae, 2005 The isometry group of a compact n-dimensional hyperbolic manifold is known to be finite. We show that for every n > 2, every finite group is realized as the full isometry group of some compact hyperbolic n-manifold. The cases n = 2 and n = 3 have been proven by Greenberg and Kojima, respectively.
Belolipetsky, M., Lubotzky, A.
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Faithful real representations of cyclically pinched one-relator groups [PDF]
International Journal of Group Theory, 2014 In [FR 1,2] using faithful complex representations of cyclically pinched andconjugacy pinched one-relator groups we proved that any limit group has afaithful representation in PSL(2;C). Further this representation can be e ec-tively constructed using the
Benjamin Fine +2 more
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