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Non Uniform Kazhdan Constant for Linear Groups
A group $Γ$ generated by a finite set $S$ has Property $(T)$ if the associated Kazhdan constant $κ(Γ,S)$ is positive. If so, the same holds for every finite generating set $S$. There are Property $(T)$ groups which are uniformly $(T)$, and others which are not. It is a well-known problem whether t
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