5 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…
On the large-scale geometry of graph braid groups via cubical structures
Byung Hee An, Sangrok Oh
We study the large-scale geometry of graph braid groups , viewed as the fundamental groups of discrete configuration spaces , which are spec…
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…
Quasi-isometry classification of certain graph -braid groups and its applications
Byung Hee An, Sangrok Oh
In \cite{Oh22}, the second author defined a complex of groups decomposition of the fundamental group of a finitely generated 2-dimensional special group, called an \emph{intersecti…