3 papers
math.GR2026
Property QT of relatively hierarchically hyperbolic groups
Bingxue Tao
Using the projection complex machinery, Bestvina--Bromberg--Fujiwara, Hagen--Petyt, and Han--Nguyen--Yang have proved that several classes of nonpositively curved groups admit equi…
math.GR2026
Central extensions and proper actions on products of hyperbolic spaces
Bingxue Tao, Renxing Wan
The main result of this paper identifies boundedness of the Euler class as the exact obstruction to preserving property QT under central extensions. For a central extension of grou…
math.GR2025
An extension theorem for quasimorphisms
Bingxue Tao
We provide a general sufficient condition for extendability of quasimorphisms on subgroups. This condition recovers the result of Hull--Osin on quasimorphisms on hyperbolically emb…