Structure of fundamental groups of manifolds with Ricci curvature   bounded below
  Verifying a conjecture of Gromov we establish a generalized Margulis Lemma for manifolds with lower Ricci curvature bound. Among the various applications are finiteness results for fundamental groups of compact $n$-manifolds with upper diameter and lower Ricci curvature bound modulo nilpotent normal subgroups. 
Vitali Kapovitch and Burkhard Wilking
math.DG math.GT