A note on upper ramification jumps in Abelian extensions of exponent p

Journal article

In this paper we present a classification of the possible upper ramification jumps for an elementary abelian p-extension of a p-adic field. The fundamental step for the proof of the main result is the computation of the ramification filtration for the maximal elementary abelian p-extension of the base field K. This result generalizes [1, Lemma 9, p. 286], where the same result is proved under the assumption that K contains a primitive p-th root of unity. To dea...

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Authors: Capuano, L; Del Corso, I

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: University of Parma Publisher's website
• Journal: Rivista di Matematica della Università di Parma Journal website
• Volume: 6
• Issue: 2
• Pages: 317-329
• Publication date: 2015-12-20
• Acceptance date: 2015-10-16
• EISSN: 2284-2578
• ISSN: 0035-6298
• Keywords: normic groups; class field theory; Elementary Abelian p-extensions; SBTMR; upper ramification jumps