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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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