Results 11 to 20 of about 102,917 (274)
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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Relatively Hyperbolic Groups with Rapid Decay Property [PDF]
, 2004 We prove that a finitely generated group $G$ hyperbolic relative to the collection of finitely generated subgroups H_1,..., H_m has the Rapid Decay property if and only if each H_i, i=1,2,..., m, has the Rapid Decay property.
Cornelia Druţu, Mark Sapir
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The conjugacy problem for relatively hyperbolic groups [PDF]
Algebraic & Geometric Topology, 2004 Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-43.abs ...
Inna Bumagin
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Bounded geometry in relatively hyperbolic groups [PDF]
, 2004 We prove that, if a group is relatively hyperbolic, the parabolic subgroups are virtually nilpotent if and only if there exists a hyperbolic space with bounded geometry on which it acts geometrically finitely. This provides, by use of M. Bonk and O. Schramm embedding theorem, a very short proof of the finiteness of asymptotic dimension of relatively ...
François Dahmani, Yaman, A.
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Relatively Hyperbolic Groups with Semistable Peripheral Subgroups [PDF]
International Journal of Algebra and Computation, 2021 Suppose G is a finitely presented group that is hyperbolic relative to [Formula: see text] a finite collection of finitely generated proper subgroups of G. Our main theorem states that if each [Formula: see text] has semistable fundamental group at [Formula: see text], then G has semistable fundamental group at [Formula: see text]. The problem reduces
Matthew Haulmark, Michael Mihalik
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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}
Kapovich, Ilya, Schupp, Paul
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Foldings in relatively hyperbolic groups [PDF]
Carrier graphs of groups representing subgroups of a given relatively hyperbolic groups are introduced and a combination theorem for relatively quasi-convex subgroups is proven. Subsequently a theory of folds for such carrier graphs is introduced and finiteness results for subgroups of locally relatively quasiconvex relatively hyperbolic groups and ...
Richard Weidmann, Thomas Weller
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ENDOMORPHISMS OF RELATIVELY HYPERBOLIC GROUPS [PDF]
International Journal of Algebra and Computation, 2008 We generalize some results of Paulin and Rips-Sela on endomorphisms of hyperbolic groups to relatively hyperbolic groups, and in particular prove the following. • If G is a nonelementary relatively hyperbolic group with slender parabolic subgroups, and either G is not co-Hopfian or Out (G) is infinite, then G splits over a slender group. • If H is a
IGOR BELEGRADEK, ANDRZEJ SZCZEPAŃSKI
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Relative hyperbolicity and Artin groups [PDF]
Geometriae Dedicata, 2007 This paper considers the question of relative hyperbolicity of an Artin group with regard to the geometry of its associated Deligne complex. We prove that an Artin group is weakly hyperbolic relative to its finite (or spherical) type parabolic subgroups if and only if its Deligne complex is a Gromov hyperbolic space. For a 2-dimensional Artin group the
Charney, Ruth, Crisp, John
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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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