Une alternative sur l'entropie des groupesAn alternative about entropy of groups |
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Authors: | Vincent Guirardel |
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Institution: | Institut Fourier, UMR 5582, BP 74, Université Grenoble 1, 38402 Saint-Martin d''Hères cedex, France |
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Abstract: | We prove the following alternative: either there exists a finitely generated group with exponential growth whose entropy is zero, or there exists a universal constant M>0 such that the entropy of all non-elementary hyperbolic groups with cyclic centralizers and their non-elementary subgroups is at least M. To cite this article: V. Guirardel, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 743–746. |
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