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Structure of fundamental groups of manifolds with Ricci curvature bounded below

Published 30 May 2011 in math.DG and math.GT | (1105.5955v2)

Abstract: 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.

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