Machine calculations in Weyl groups.
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William A. Casselmann (1994)
Inventiones mathematicae
Filippo Cerocchi (2014)
Annales de l’institut Fourier
We prove a Margulis’ Lemma à la Besson-Courtois-Gallot, for manifolds whose fundamental group is a nontrivial free product , without 2-torsion. Moreover, if is torsion-free we give a lower bound for the homotopy systole in terms of upper bounds on the diameter and the volume-entropy. We also provide examples and counterexamples showing the optimality of our assumption. Finally we give two applications of this result: a finiteness theorem and a volume estimate for reducible manifolds.
Charney, Ruth, Lytchak, Alexander (2001)
Geometry & Topology
Conant, James, Vogtmann, Karen (2004)
Geometry & Topology
Gilbert Levitt, Martin Lustig (2000)
Annales scientifiques de l'École Normale Supérieure
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