Results 41 to 50 of about 193,577 (332)
Statistical hyperbolicity of relatively hyperbolic groups [PDF]
Algebraic & Geometric Topology, 2016 12 pages; Several corrections and improvements on the exposition after referee report.
Osborne, Jeremy, Yang, Wen-yuan
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Dehn filling in relatively hyperbolic groups [PDF]
, 2007 We introduce a number of new tools for the study of relatively hyperbolic groups. First, given a relatively hyperbolic group G, we construct a nice combinatorial Gromov hyperbolic model space acted on properly by G, which reflects the relative ...
Groves, Daniel, Manning, Jason Fox
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Miniaturized Backward Coupler Realized by the Circuit‐Based Planar Hyperbolic Waveguide
Advanced Photonics Research, 2021 Planar waveguides limit the transmission of electromagnetic waves in a specific direction and have a wide range of applications in filters, sensors, and energy‐transfer devices.
Zhiwei Guo +3 more
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Acylindrical group actions on quasi-trees
, 2016 A group G is acylindrically hyperbolic if it admits a non-elementary acylindrical action on a hyperbolic space. We prove that every acylindrically hyperbolic group G has a generating set X such that the corresponding Cayley graph is a (non-elementary ...
Balasubramanya, Sahana
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Stability for hyperbolic groups acting on boundary spheres
Forum of Mathematics, Sigma, 2023 A hyperbolic group G acts by homeomorphisms on its Gromov boundary. We show that if $\partial G$ is a topological n–sphere, the action is topologically stable in the dynamical sense: any nearby action is semi-conjugate to the standard boundary ...
Kathryn Mann, Jason Fox Manning
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Hyperbolic surface subgroups of one-ended doubles of free groups
, 2013 Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface group. We prove that every one-ended double of a free group has a hyperbolic surface subgroup if (1) the free group has rank two, or (2) every generator is used the ...
Baumslag +16 more
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Faithful real representations of groups of $F$-type [PDF]
International Journal of Group Theory, 2020 Groups of $F$-type were introduced in [B. Fine and G. Rosenberger, Generalizing Algebraic Properties of Fuchsian Groups, \emph{London Math. Soc.
Benjamin Fine +2 more
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Quaternionic Hyperbolic Fenchel-Nielsen Coordinates
, 2018 Let $Sp(2,1)$ be the isometry group of the quaternionic hyperbolic plane ${{\bf H}_{\mathbb H}}^2$. An element $g$ in $Sp(2,1)$ is `hyperbolic' if it fixes exactly two points on the boundary of ${{\bf H}_{\mathbb H}}^2$.
Gongopadhyay, Krishnendu +1 more
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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.
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Amenable hyperbolic groups [PDF]
Journal of the European Mathematical Society, 2015 We give a complete characterization of the locally compact groups that are non elementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete or continuous one-parameter groups of compacting automorphisms. We moreover give a description of all Gromov-hyperbolic locally compact groups with a cocompact amenable ...
Pierre-Emmanuel Caprace +3 more
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