3 papers
math.GR2025
Quasi-redirecting boundaries of groups with linear divergence and 3-manifold groups
Hoang Thanh Nguyen
The quasi-redirecting (QR) boundary, introduced by Qing and Rafi, generalizes the Gromov boundary for studying the large-scale geometry of finitely generated groups. Although it is…
math.GR2025
Quasi-redirecting boundaries of non-positively curved groups
Hoang Thanh Nguyen, Yulan Qing
The quasi-redirecting (QR) boundary is a close generalization of the Gromov boundary to all finitely generated groups. In this paper, we establish that the QR boundary exists as a…
math.GR2024
Quasi-isometric rigidity of extended admissible groups
Alex Margolis, Hoang Thanh Nguyen
We introduce the class of extended admissible groups, which include both fundamental groups of non-geometric 3-manifolds and Croke-Kleiner admissible groups. We show that the class…