3 papers
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
Quasi-retracts of groups
Renxing Wan
In this paper, we study a special class of quasi-homomorphisms, i.e. quasi-retractions from a group to its subgroups. We first give some algebraic and geometric properties of quasi…
math.GR2025
Relative bounded cohomology on groups with contracting elements
Zhenguo Huangfu, Renxing Wan
Let be a countable group acting properly on a metric space with contracting elements and be a finite collection of Morse subgroups in . We prove that e…