Expansive Convergence Groups are Relatively Hyperbolic

By V. Gerasimov. 2009

52 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/58430557a775c2500f4402fb61abd1a57a6353ce

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. L. Potyagailo
2. Wen-yuan Yang
3. V. Gerasimov

In Geometry and Topology

1. Wen-yuan Yang
2. L. Potyagailo
3. V. Gerasimov

Citations in the corpus

• Quasiconvexity in the Relatively Hyperbolic Groups (2011, background): “act fundamental set for the action H y(T \ ΛH). The set S1={γg : γg=hgg, g∈S0} is infinite, so it admits a limit cross (r,a)×=r × T ∪ T × a where r and a are respectively repeller and attractor points [Ge09]. By our assumption we have a∈ΛH. We now claim that r6= x. Suppose not. If first there exists b”
• Statistically convex-cocompact actions of groups with contracting elements (2016, background): “d) with respect to a generating set Sž. See [16], [68] and [30]. ● Floyd = Ž a group Gwith non-trivial Floyd boundary acts on a Cayley graph (Y;d) with respect to a generating set Sž. See [37], [51], [40], [42]. ● CAT1 0 =Ž a group Gacts properly and co-compactly on a CAT(0) space (Y;d) with rank-1 ”