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math.GR2026
Tits Alternative in groups with proper product actions on proper Gromov-hyperbolic spaces
Jiaqi Cui, Renxing Wan
In this paper, we study groups with property (PPH), i.e., there exist finitely many proper Gromov-hyperbolic spaces on which acts cocompactly such that the di…
math.GR2025
A general construction of simultaneously hyperbolic elements
Jiaqi Cui, Renxing Wan
In this paper, we give an explicit construction of simultaneously hyperbolic elements in a group acting on finitely many Gromov-hyperbolic spaces under the weakest conditions. This…
math.GR2024
Marked length spectrum rigidity in groups with contracting elements
Renxing Wan, Xiaoyu Xu, Wenyuan Yang
This paper presents a study of the well-known marked length spectrum rigidity problem in the coarse-geometric setting. For any two (possibly non-proper) group actions $G\curvearrow…