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Arithmetic characterization of algebraic number fields with given class group. (English) Zbl 0583.12004

The author gives an arithmetical characterization of algebraic number fields whose class group is either \(C^ n_ 2\) or \(C^ n_ 2\oplus C_ 4\) or one of 22 explicitly listed small groups.
Reviewer: W.Narkiewicz

MSC:

11R23 Iwasawa theory
11R04 Algebraic numbers; rings of algebraic integers
Full Text: DOI

References:

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