2025/05/27 by Zachary Munro, Munro, Zachary, Daniel T. Wise +1
Materials Science · Medicine · #Magnetism in coordination complexes #Lanthanide and Transition Metal Complexes #Metal complexes synthesis and properties
paper · pdf · doi:10.48550/arxiv.2505.21029
We define strict C(n) small-cancellation complexes, intermediate to C(n) and C(n+1), and we prove groups acting properly cocompactly on a simply-connected strict C(6) complex are hyperbolic relative to a collection of maximal virtually free abelian subgroups of rank 2. We study geometric walls in a simply-connected strict C(6) complex, and we use them to prove a convex cocompact (cosparse) core theorem for (relatively) quasiconvex subgroups of strict C(6) groups. We provide an examples showing the convex cocompact core theorem is false without the strict C(6) assumption.