Etale K-theory and Iwasawa theory of number fields

Abstract

<p>Results of W. G. Dwyer and E. M. Friedlander on étale K-theory of the S-integers O^s_E in a number field E are used to express the higher étale tame and wild kernel in terms of arithmetical invariants in the cyclotomic Z_l-extension of F = E(ζ_l). Furthermore, properties of these groups are discussed, such as higher rank formulas and Galois descent.</p>