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 language | English (US) |
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Pages (from-to) | 3-11 |
Number of pages | 9 |
Journal | Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie |
Volume | 61 |
Issue number | 1 |
State | Published - 2018 |
Keywords
- Distributions
- Galois orbits
- Iwasawa algebra
- Local fields
ASJC Scopus subject areas
- General Mathematics