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math.GR2026
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…
math.GR2026
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…
math.GR2025
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…