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Non-abelian local reciprocity law

Ikeda, K. Ilhan; Serbest, Erol


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    <subfield code="a">Following our work on the generalized Fesenko reciprocity map, we construct the non-abelian local reciprocity map Phi((phi))(K) of a local field K as a certain isomorphism from the absolute Galois group G(K) of K onto a topological group del((phi))(K,Y) whose definition involves Fontaine-Wintenberger theory of field of norms, and build the non-abelian local class field theory over K in the sense of Fesenko and Koch.</subfield>
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