THE Zp-RANK OF A TOPOLOGICAL K-GROUP
نویسنده
چکیده
A complete two-dimensional local field K of mixed characteristic with finite second residue field is considered. It is shown that the rank of the quotient U(1)K 2 K/TK , where TK is the closure of the torsion subgroup, is equal to the degree of the constant subfield of K over Qp. Also, a basis of this quotient is constructed in the case where there exists a standard field L containing K such that L/K is an unramified extension.
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