On universal norms and the first layers of Zₚ-extensions of a number field
Movahhedi, Abbas · Do, Thong Nguyen Quang
Original · EN
For an odd prime p and a number field F containing a primitive p-th root of unity, we describe the Kummer radical AF of the first layers of all the Zₚ-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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