2 papers
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.GR2024
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…