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Cocompact cubulations of mixed 3-manifolds – arXiv Vanity
WebApr 1, 2024 · Download Citation Relative cubulations and groups with a 2-sphere boundary We introduce a new kind of action of a relatively hyperbolic group on a $\text{CAT}(0)$ cube complex, called a ... 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. phobia of being useless
Coxeter groups are virtually special - ScienceDirect
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. … Webare cocompactly cubulated and hyperbolic. For instance, if Gis a surface group and the hyperplane stabilizers are cyclic (which occurs in the standard cubulations of G), we have a= 0, hence random quotients of G are cubulated and hyperbolic at density 1 41. This is far lower than the density at which the corresponding conclusion is known for ... Webright-angled Artin groups (and cubulated groups) obtained in this paper are quasi-isometric to the Cayley graphs of those groups. For such groups, we have the following: Theorem 3. The growth function of Gis the number of non-ideal tiles in Rn(X). Theorem 4. If the subdivision rule Rhas mesh approaching 0 (meaning that each path crossing non-ideal phobia of big fish