3 papers
math.GR2025
Product separability for special cube complexes
Sam Shepherd
We prove that if a group admits a virtually special action on a CAT(0) cube complex, then any product of convex-cocompact subgroups of is separable. Previously, this was on…
math.GR2025
Higher-rank GBS groups: non-positive curvature and biautomaticity
Sam Shepherd, Motiejus Valiunas
We characterise when a rank generalised Baumslag-Solitar group is CAT(0) and when it is biautomatic.
math.GR2025
Separability properties of higher-rank GBS groups
Jone Lopez de Gamiz Zearra, Sam Shepherd
A rank generalized Baumslag-Solitar group is a group that splits as a finite graph of groups such that all vertex and edge groups are isomorphic to . In this pape…