Classifying spaces for the family of virtually cyclic subgroups of braid   groups
  We prove that, for $n\geq 3$, the minimal dimension of a model of the classifying space of the full braid group $B_n$, and of the pure braid group $P_n$, with respect to the family of virtually cyclic groups is $n$. 
Ram\'on Flores and Juan Gonz\'alez-Meneses
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