Prographes sylvestres et groupes profinis presque libres |
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Authors: | Bruno Deschamps Ivan Suarez Atias |
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Institution: | 1.Département de Mathématiques,Université du Maine,Le Mans cedex 9,France |
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Abstract: | In this article we want to give an analogous in the profinite case to the following theorem: an abstract group is free if
and only if it acts freely on a tree. In a first time we define a combinatory object, the protrees, which are particular inductive
systems extracted from projective systems of graphs. Then we define a notion of profinite action. These objects allow us to give the following analogous: a profinite group contains a dense abstract free subgroup if and
only if it acts profreely on a protree. |
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