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Property (T) in density-type models of random groups

Property (T) in density-type models of random groups

We study property (T) in the \Gamma(n,k,d) model of random groups: as k tends to infinity this gives the Gromov density model, introduced in 1993. We provide bounds for property (T) in the k -angular model of random groups, i.e., the \Gamma (n,k,d) model, where k is fixed and n …