On ρ-extensions of ρ-adic fields

Let ρ be an odd prime, and let K be a finite extension of Qp such that K contains a primitive ρ-th root of unity. Let K <ρ be the maximal ρ-extension of K with Galois group Γ <ρ of period ρ and nilpotence class < ρ. Recent results of Abrashkin describe the ramification filtration ?, and can...

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Bibliographic Details
Main Author: McCabe, Keith Thomas
Published: Durham University 2016
Subjects:
512
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.699527