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We study the l-part of the the wild \'etale kernels WK2i(F) of an arbitarynumber field F for a given prime l in connection with the logarithmic l-classgroups. From the logarithmic arithmetic we deduce rank formulas, periodicityand reflection theorems, triviality characterizations and various consequences.

Approche logarithmique des noyaux \'etales sauvages des corps de nombres