On some modules associated with Galois orbits

Victor Alexandru, Marian Vâjâitu, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

Given a prime number p we consider ℂp, which is usually called the Tate field, the topological completion of the algebraic closure of the field of p-adic numbers. We introduce and study a class of modules associated with factor groups of profinite groups, especially of those which are the Galois groups of the normal closure of algebraic infinite extensions. In particular, we show that the module associated with a Galois orbit of an arbitrary element of ℂp is a factor of the Iwasawa algebra of a normal element of ℂp by an ideal which can be described.

Original languageEnglish (US)
Pages (from-to)3-11
Number of pages9
JournalBulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
Volume61
Issue number1
StatePublished - Jan 1 2018

Keywords

  • Distributions
  • Galois orbits
  • Iwasawa algebra
  • Local fields

ASJC Scopus subject areas

  • Mathematics(all)

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