4 papers
Hierarchical geometry and right-angled Artin groups in graph braid groups
Byung Hee An, Sangrok Oh, Jihoon Park
For the unordered discrete configuration space of particles on a connected finite graph , we construct an explicit factor system on its univ…
From algebraic orthogonality to RAAG embedding obstructions in hierarchically hyperbolic groups
Sangrok Oh, Jihoon Park
We introduce the , which records minimal unbounded domains and their axial directions, for two classes of hierarchically hyperbolic group structures m…
Embeddability of right-angled Artin groups into hierarchically hyperbolic groups
Sangrok Oh, Jihoon Park
For a hierarchically hyperbolic group, we give sufficient conditions ensuring that suitable powers of a finite collection of elements generate a right-angled Artin subgroup; under…
Factor system for graphs and combinatorial HHS
Jihoon Park
We relaxe the constraint on the domains of combinatorial HHS machinery so combinatorial HHS machinery works for most cubical curve graphs. As an application we extend the factor sy…