Invariant generalized ideal classes – structure theorems for p-class groups in p-extensions

Author:

GRAS GEORGES

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference90 articles.

1. Artin E and Tate J, Class field theory (Amsterdam: Benjamin, New York) (1968); second edition: Advanced Book Classics, Addison-Wesley Publ. Comp., Redwood City 1990; Reprint of the 1990 second edition (2009)

2. Azizi A, Taous M and Zekhnini A, Coclass of Gal ( k 2 2 / k ) $\text {Gal}({k^{2}_{2}}/k)$ for some fields k = ℚ ( p 1 p 2 q , $k \,=\, \mathbb {Q}(\sqrt { p_{1}p_{2} q},$ − 1 ) $\sqrt {-1})$ , with 2-class groups of types (2,2,2), J. Algebra and its Applications 15 (2016) 2, http://scholar.google.com/citations?user=EZPtrFcAAAAJ&hl=fr

3. Azizi A, Taous M and Zekhnini A, On the strongly ambiguous classes of some biquadratic number fields, arXiv: 1503.01992.pdf (2015)

4. Bauer H, Zur Berechnung der 2-Klassenzahl der quadratischen Zahlkörper mit genau zwei verschiedenen Diskriminantenprimteilern, J. Reine Angew. Math. 248 (1971) 42–46

5. Belabas K and et al., Pari/gp, Version 2.5.3, Laboratoire A2X, Université de Bordeaux I. http://sagemath.org/

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