WebJun 8, 2024 · We show that low-density random quotients of cubulated hyperbolic groups are again cubulated (and hyperbolic). Ingredients of the proof include cubical small-cancellation theory, the exponential growth of conjugacy classes, and the statement that hyperplane stabilizers grow exponentially more slowly than the ambient cubical group. … WebMar 25, 2024 · This means that for a cubulated hyperbolic group, the natural action on its Gromov boundary is hyperfinite, which generalizes an old result of Dougherty, Jackson and Kechris for the free group case. Keywords. group actions topological dynamics hyperbolic groups hyperfinite equivalence relations Gromov boundary.
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Webadjective cu· pu· late ˈkyü-pyə-ˌlāt -lət : shaped like, having, or bearing a cupule Word History First Known Use 1835, in the meaning defined above Time Traveler The first … WebSep 22, 2013 · Combobulate. New Word Suggestion. To put together in order. To bring something out of a state of confusion or disarray. Submitted By: DavedWachsman3 - … porsche taycan price melbourne
Examples of non-cubulated hyperbolic groups - MathOverflow
WebDec 26, 2024 · What is known regarding which hyperbolic groups are cubulated? I take it the usual definition of cubulated is acting properly and cocompactly on a CAT (0)-cube complex. My impression is that not all of them are, but I didn't manage to find references with a counterexample. Are there known ways to create non-cubulated hyperbolic … Webis cocompactly cubulated if and only if V acts properly and cocompactly on Rn, the standard tiling of En by n-cubes. This assertion appears as [29, Lemma 16.12], where Wise deduces it ... Definition 2.1 (Hyperoctahedron). The zero-dimensional hyperoctahedron Q1 is the simplicial complex consisting of two non-adjacent 0-simplices. WebSep 1, 2024 · Cubulated moves. Definition 4.1. The following are the allowed cubulated moves: M1. Subdivision: Given an integer m > 1, consider the subcubulation C m of C by subdividing each k-dimensional cell of C in m k congruent k-cells in C m, in particular each hypercube in C is subdivided in m 4 congruent hypercubes in C m. irish flag shot recipe