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On universal norms and the first layers of Z_p-extensions of a number field
Published 1 Mar 2013 in math.NT | (1303.0176v1)
Abstract: For an odd prime p and a number field F containing a primitive p-th root of unity, we describe the Kummer radical A_F of the first layers of all the Z_p-extensions of F in terms of universal norms of p-units along the cyclotomic tower of F . We also study "twisted" radicals related to AF .
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