Results 41 to 50 of about 437,604 (285)
Specializing cubulated relatively hyperbolic groups [PDF]
, 2020 In [Doc. Math. 18 (2013), 1045–1087], Agol proved the Virtual Haken and Virtual Fibering Conjectures by confirming a conjecture of Wise: Every cubulated hyperbolic group is virtually special.
D. Groves, J. Manning
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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
John Crisp, Ruth Charney
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Towers and elementary embeddings in toral relatively hyperbolic groups [PDF]
International journal of algebra and computation, 2020 In a remarkable series of papers, Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers.
Christopher Perez
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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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A combinatorial take on hierarchical hyperbolicity and applications to quotients of mapping class groups [PDF]
, 2020 We give a simple combinatorial criterion, in terms of an action on a hyperbolic simplicial complex, for a group to be hierarchically hyperbolic.
Behrstock, Jason +3 more
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On Relative Hyperbolicity for a Group and Relative Quasiconvexity for a Subgroup [PDF]
Tokyo Journal of Mathematics, 2019 We consider two families of subgroups of a group. Each subgroup which belongs to one family is contained in some subgroup which belongs to the other family. We then discuss relations of relative hyperbolicity for the group with respect to the two families, respectively.
MATSUDA, Yoshifumi +2 more
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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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Journal of Clinical and Translational Science, 2018 OBJECTIVES/SPECIFIC AIMS: Alcohol use disorder (AUD) has been associated with greater discounting of delayed rewards relative to healthy controls. The relationship, however, has been inconsistent, likely because previous studies had relatively small ...
Julia Swan +4 more
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A Combination Theorem for Relatively Hyperbolic Groups [PDF]
Bulletin of the London Mathematical Society, 2003 In this paper we give new requirements that a tree of $ $-hyperbolic spaces has to satisfy in order to be $ $-hyperbolic itself. As an application, we give a simple proof that limit groups are relatively hyperbolic.
Emina Alibegović
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RELATIVELY HYPERBOLIC GROUPS [PDF]
International Journal of Algebra and Computation, 2012 In this paper we develop some of the foundations of the theory of relatively hyperbolic groups as originally formulated by Gromov. We prove the equivalence of two definitions of this notion. One is essentially that of a group admitting a properly discontinuous geometrically finite action on a proper hyperbolic space, that is, such that every limit ...
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