34 citations · 97 across the 14 of their papers we have counts for
6 papers · 1 filter
On the coarse geometry of certain right-angled Coxeter groups
Hoang Thanh Nguyen, Hung Cong Tran
Let be a connected, triangle-free, planar graph with at least five vertices that has no separating vertices or edges. If the graph is , we prove that the rig…
On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups
Matthew Haulmark, Hoang Thanh Nguyen, Hung Cong Tran
In this article, we study the manifold structure and the relatively hyperbolic structure of right-angled Coxeter groups with planar nerves. We then apply our results to the quasi-i…
On strongly quasiconvex subgroups
Hung Cong Tran
We develop a theory of \emph{strongly quasiconvex subgroups} of an arbitrary finitely generated group. Strong quasiconvexity generalizes quasiconvexity in hyperbolic groups and is…
Surface group amalgams that (don't) act on 3-manifolds
G. Christopher Hruska, Emily Stark, Hung Cong Tran
We determine which amalgamated products of surface groups identified over multiples of simple closed curves are not fundamental groups of 3-manifolds. We prove each surface amalgam…
Malnormality and join-free subgroups in right-angled Coxeter groups
Hung Cong Tran
In this paper, we prove that all finitely generated malnormal subgroups of one-ended right-angled Coxeter groups are strongly quasiconvex and they are in particular quasiconvex whe…
Strong quasiconvexity, stability, and lower relative divergence in right-angled Artin groups
Hung Cong Tran
Let be a simplicial, finite, connected graph such that does not decompose as a nontrivial join. We prove that two notions of strong quasiconvexity and stability are equival…