Suzhen Han

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20182023

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math.GR2023

Counting double cosets with application to generic 3-manifolds

Suzhen Han, Wenyuan Yang, Yanqing Zou

We study the growth of double cosets in the class of groups with contracting elements, including relatively hyperbolic groups, CAT(0) groups and mapping class groups among others.…

math.GR2020

Relative Hyperbolicity of Graphical Small Cancellation Groups

Suzhen Han

A piece of a labelled graph $Γ$ defined by D. Gruber is a labelled path that embeds into $Γ$ in two essentially different ways. We prove that graphical $G r^{'} (\frac{1}{6})$ small can…

math.GR2018

Generic free subgroups and statistical hyperbolicity

Suzhen Han, Wen-yuan Yang

This paper studies the generic behavior of $k$ -tuple elements for $k \geq 2$ in a proper group action with contracting elements, with applications towards relatively hyperbolic group…