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This publication is indexed in both Zbl 0009.05101 and JFM 60.0125.02. You will find both records below.

Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkörper. (German) Zbl 0009.05101

J. Reine Angew. Math. 171, 55-60 (1934).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0009.05101

scan of Zbl 0009.05101

Cited in 7 Reviews

Cited in 22 Documents

Keywords:

algebra, number theory

Cite Review PDF

Full Text: DOI Crelle EuDML

Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkörper. (German) JFM 60.0125.02

J. f. M. 171, 55-60 (1934).

Elementar-arithmetischer Beweis des folgenden Satzes, der in einer früheren gemeinsamen Arbeit des Verf. mit H. Reichardt (J. f. M. 170 (1933), 69-74; F. d. M. \(59_{\text{I}}\), 192) auf klassenkörpertheoretischer Grundlage bewiesen worden ist:
Die Anzahl der durch 4 teilbaren Invarianten der absoluten Klassengruppe (im engeren Sinne) eines quadratischen Zahlkörpers ist gleich der Anzahl der unabhängigen Zerfällungen \(D = D_1D_2\) seiner Diskriminante \(D\) in zwei quadratische Körperdiskriminanten \(D_1, D_2\) mit der Eigenschaft: \[ \left ( \frac {D_1}{p^2}\right ) = 1 \text{ für alle } p_2|D_2,\quad \left ( \frac {D_2}{p^1}\right ) = 1 \text{ für alle } p_1|D_1. \]

Reviewer: Hasse, H., Prof. (Göttingen)

Cited in 2 Reviews

Cited in 19 Documents

JFM Section:

Erster Halbband. Dritter Abschnitt. Arithmetik und Algebra. Kapitel 7. Idealtheorie.

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Full Text: DOI Crelle EuDML

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