2024/09/22 by Eduard Einstein, Einstein, Eduard, Suraj Krishna MS +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Nonlinear Partial Differential Equations
paper · pdf · doi:10.48550/arxiv.2409.14290
openalex publication_date 2024/09/22 · openalex created_date 2024/10/26 · openalex updated_date 2026/07/28
In this note, we clarify that the boundary criterion for relative cubulation of the first author and Groves works even when the peripheral subgroups are not one-ended. Specifically, if the boundary criterion is satisfied for a relatively hyperbolic group, we show that, up to taking a refined peripheral structure, the group admits a relatively geometric action on a CAT(0) cube complex. We anticipate that this refinement will be useful for constructing new relative cubulations in a variety of settings.