6 papers
Product subcomplexes and intersection complexes of weakly special square complexes
Sangrok Oh
We define product subcomplexes and intersection complexes for compact nonpositively curved square complexes and CAT(0) square complexes. Product subcomplexes are defined as equival…
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…
Cubical structures and the large-scale geometry of graph braid groups
Byung Hee An, Sangrok Oh
We study the large-scale geometry of graph braid groups through the cubical structure of their unordered discrete configuration spaces, focusing on quasi-isometry to right-angled A…
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…