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Decomposition and Inertia Groups in $\mathbf{Z}_p$-Extensions
of Franche-Comt\'e-Besan\caon (Communicated by K. Katase) given; but in practice we have the opposite situation: the extension $K/k$ is specified by mean of some property (for instance $K/k$ is a $Z_{p}$ -extension...) and the problem is to determine its Artin group.The results obtained in [2] give a general method for …