Isometric Galois actions over p-adic fields

V. Alexandru, M. Vâjâitu, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

Let p be a prime number, Qp the field of p-adic numbers, Qp a fixed algebraic closure of Qp and Cp the completion of Qp with respect to the p-adic valuation. Let Gp = Galcont(Cp=Qp) be the group of continuous automorphisms of Cp over Qp. We investigate isometric Galois actions of the Galois group Gp on subsets of Cp.

Original languageEnglish (US)
Pages (from-to)295-301
Number of pages7
JournalBulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
Volume59
Issue number4
StatePublished - Jan 1 2016

Keywords

  • Galois actions
  • Isometries
  • P-adic fields

ASJC Scopus subject areas

  • Mathematics(all)

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