On The Boundary Criterion For Relative Cubulation: Multiended Parabolics

Authors

Eduard Einstein, Swarthmore CollegeFollow
S. K. M. S.
T. Ng

Document Type

Article

Publication Date

7-2025

Published In

Bulletin Of The London Mathematical Society

Abstract

In this note, we extend the boundary criterion for relative cubulation of the first author and Groves to the case when the peripheral subgroups are not necessarily 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.

Comments

This work is freely available courtesy of Wiley's Content Sharing service.

Recommended Citation

Eduard Einstein, S. K. M. S., and T. Ng. (2025). "On The Boundary Criterion For Relative Cubulation: Multiended Parabolics". Bulletin Of The London Mathematical Society. Volume 57, Issue 7. 2177-2189. DOI: 10.1112/blms.70087
https://works.swarthmore.edu/fac-math-stat/337