Results 1 to 10 of about 189,122 (232)
Michigan Mathematical Journal, 1998 The study of relatively hyperbolic groups (that is, hyperbolicity of a group relative to a family of subgroups) is motivated by the following situation: let \(V\) be a complete noncompact Riemannian manifold of constant negative curvature with finite volume. Then \(V\) has finitely many ends \(E_1,\dots,E_k\), and the inclusions \(E_i\subset V\) induce
Andrzej Szczepański
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Hyperbolic Groups are Hyperhopfian [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 2000 AbstractThe main result indicates that every finitely generated, residually finite, torsion-free, cohopfian group having on free Abelian subgroup of rank two is hyperhopfian. The argument relies on earlier work and ideas of Hirshon. As a corollary, fundamental groups of all closed hyperbolic manifolds are hyperhopfian.
Robert J. Daverman
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Boundaries of hyperbolic groups [PDF]
arXiv: Group Theory, 2002 63 ...
Ilya Kapovich, Nadia Benakli
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On the automorphism groups of hyperbolic manifolds [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2001 We show that there does not exist a Kobayashi hyperbolic complex manifold of dimension $n\ne 3$, whose group of holomorphic automorphisms has dimension $n^2+1$ and that, if a 3-dimensional connected hyperbolic complex manifold has automorphism group of dimension 10, then it is holomorphically equivalent to the Siegel space.
Alexander Isaev, Steven G. Krantz
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On the definition of word hyperbolic groups [PDF]
Mathematische Zeitschrift, 2002 Formal languages based on the multiplication tables of finitely generated groups are investigated and used to give a linguistic characterization of word hyperbolic groups.
Robert H. Gilman
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Relative Hyperbolicity and Artin Groups [PDF]
Geometriae Dedicata, 2004 Let $G=$ be an Artin group and let $m_{ij}=m_{ji}$ be the length of each of the sides of the defining relation involving $a_i$ and $a_j$. We show if all $m_{ij}\ge 7$ then $G$ is relatively hyperbolic in the sense of Farb with respect to the collection of its two-generator subgroups $$ for which $m_{ij}
Ilya Kapovich, Paul E. Schupp
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Height in splittings of hyperbolic groups [PDF]
Proceedings Mathematical Sciences, 2004 Suppose $H$ is a hyperbolic subgroup of a hyperbolic group $G$. Assume there exists $n > 0$ such that the intersection of $n$ essentially distinct conjugates of $H$ is always finite. Further assume $G$ splits over $H$ with hyperbolic vertex and edge groups and the two inclusions of $H$ are quasi-isometric embeddings.
Mahan Mitra
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Quantum Chromodynamics and the Hyperbolic Unitary Group SUh(3)
Axioms, 2023 The paper shows that it is possible to construct quantum chromodynamics as a rigorous theory on the basis of employment of hyperbolic unitary group SUh(3), which is a symmetry group for the three-dimensional complex space of the hyperbolic type.
Nikolay Popov, Ivan Matveev
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MCGDM Approach Using the Weighted Hyperbolic Sine Similarity Measure of Neutrosophic (Indeterminate Fuzzy) Multivalued Sets for the Teaching Quality Assessment of Teachers [PDF]
Neutrosophic Sets and Systems, 2022 A neutrosophic (indeterminate fuzzy) multivalued set (NMS) can be effectively described by neutrosophic number sequences with identical or different neutrosophic numbers zi = i + viI [0, 1] (i = 1, 2, …, q) for , v R and I [I , I + ]. Therefore,
Mailing Zhao, Jun Ye
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IEEE Access, 2023 The paper aims are to impersonate some robust sine-hyperbolic operations laws to determine the group decision-making process under the fractional orthotriple linear Diophantine fuzzy set (FOLDFS) situation.
Muhammad Qiyas +3 more
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