This work considers the fundamental groups and diameters of positively Ricci curved Riemannian $n$-manifolds. By combining the results of equivarient Hausdorff convergence with the Ricci version of a splitting theorem, some new information on the topology of compact manifolds with positive Ricci curvature was discovered. Moreover, a weak Margulis's lemma was also obtained for Riemannian manifolds with a lower Ricci curvature bound.
"Some new obstruction results for compact positively Ricci curved manifolds." Bull. Belg. Math. Soc. Simon Stevin 13 (3) 441 - 453, September 2006. https://doi.org/10.36045/bbms/1161350685