Journal of Prime Research in Mathematics

On the arithmetical structure of some compact subsets in the \(p-\)adic complex number field

Angel Popescu
Department of Mathematics, Technical University of Civil Engineering of Bucharest, Romania.


\(^{1}\)Corresponding Author:


We use arithmetical tools (algebraic numbers, valuations, Galois groups) in order to describe the structure of all compact subsets of the \(p-\)adic complex field, which are invariant with respect to the absolute Galois group of the \(p-\)adic number field


 Galois groups, number fields, Banach algebras, compact sets.