Iwasawa, Kenkichi A note on class numbers of algebraic number fields. (English) Zbl 0074.03002 Abh. Math. Semin. Univ. Hamb. 20, 257-258 (1956). Reviewer: W. Jehne Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 98 Documents MSC: 11R29 Class numbers, class groups, discriminants 11R20 Other abelian and metabelian extensions Keywords:class numbers of algebraic number fields; finite Galois extension; divisibility; generalization of Weber-Furtwängler theorem PDF BibTeX XML Cite \textit{K. Iwasawa}, Abh. Math. Semin. Univ. Hamb. 20, 257--258 (1956; Zbl 0074.03002) Full Text: DOI References: [1] Cf. H. Hasse, Über die Klassenzahl Abelscher Zahlkörper (Berlin, 1952), § 34. The author expresses here his hearty thanks to Professor H. Hasse for his kind suggestions in preparing the present paper. [2] This first part is a known result; cf. C. CHEVALLEY, Relation entre le nombre de classes d’un sous-corps et celui d’un sur-corps. C. R., Paris, 192, 257–258 (1931). The proof is given here only for the sake of completeness. [3] Cf. H. Zassenhaus, Lehrbuch der Gruppentheorie I (Leipzig und Berlin 1937), p. 104. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.