Results 51 to 60 of about 189,122 (232)
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
doaj +1 more source
Sphere boundaries of hyperbolic groups
, 2016 We show that a one-ended simply connected at infinity hyperbolic group $G$ with enough codimension-1 surface subgroups has $\partial G \cong \mathbb{S}^2$.
Beeker, Benjamin, Lazarovich, Nir
core +1 more source
Hyperbolic groups and free constructions [PDF]
Transactions of the American Mathematical Society, 1998 It is proved that the property of a group to be hyperbolic is preserved under HHN-extensions and amalgamated free products provided the associated (amalgamated) subgroups satisfy certain conditions. Some more general results about the preservation of hyperbolicity under graph products are also obtained. Using these results we describe the
Alexei Myasnikov, Olga Kharlampovich
openaire +3 more sources
The isomorphism problem for all hyperbolic groups
, 2010 We give a solution to Dehn's isomorphism problem for the class of all hyperbolic groups, possibly with torsion. We also prove a relative version for groups with peripheral structures.
Dahmani, François, Guirardel, Vincent
core +2 more sources
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
core +1 more source
Geometry and topology of complex hyperbolic and CR-manifolds
, 1997 We study geometry, topology and deformation spaces of noncompact complex hyperbolic manifolds (geometrically finite, with variable negative curvature), whose properties make them surprisingly different from real hyperbolic manifolds with constant ...
Apanasov, Boris
core +2 more sources
Quasi-linear analysis of dispersion relation preservation for nonlinear schemes
Advances in Aerodynamics, 2022 In numerical simulations of complex flows with discontinuities, it is necessary to use nonlinear schemes. The spectrum of the scheme used has a significant impact on the resolution and stability of the computation.
Fengyuan Xu +3 more
doaj +1 more source
Hyperbolic extensions of groups
Journal of Pure and Applied Algebra, 1996 Let \(H\) and \(G\) be finitely generated groups equipped with word metrics, and \(p:G\to H\) be a surjective homomorphism. A quasi-isometric section is a subset \(\Sigma\subset G\) mapping onto \(H\) for which there exists \(\kappa\geq 1\) and \(\varepsilon\geq 0\) such that for any \(g,g'\in\Sigma\), we have \[ {1\over k}d_H(pg,pg')-\varepsilon\leq ...
openaire +3 more sources
Automorphisms of Hyperbolic Groups and Graphs of Groups [PDF]
Geometriae Dedicata, 2005 Using the canonical JSJ splitting, we describe the outer automorphism group $\Out(G)$ of a one-ended word hyperbolic group $G$. In particular, we discuss to what extent $\Out(G)$ is virtually a direct product of mapping class groups and a free abelian group, and we determine for which groups $\Out(G)$ is infinite.
openaire +5 more sources
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
core +1 more source