## The group of $$p$$-adic integers.(Spanish. English summary)Zbl 0936.22005

Summary: In this paper the additive group $$O^+$$ of the ring of $$p$$-adic numbers is studied showing that it is a compact Hausdorff topological group. A proof using the theory of projective limits is presented. At the end of the article we point out the importance of the inverse Galois problem and its relation with $$O^+$$.

### MSC:

 22C05 Compact groups 22-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups 11S20 Galois theory
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