Sur la tour de Hilbert de certains corps

Abdelmalek Azizi, Mohammed Talbi, Mohamed Talbi

Type: Article

Publication Date: 2015-06-29

Citations: 1

DOI: https://doi.org/10.5269/bspm.v34i2.27471

Abstract

In this paper, we determine the first Hilbert $2$-class field for some quartic cyclic number fields ${\mathrm k}$ and the Galois group of the second Hilbert $2$-class field of ${\mathrm k}$ over ${\mathrm k}$.

Locations

Boletim da Sociedade Paranaense de Matemática - View - PDF
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Works Cited by This (7)

Action	Title	Year	Authors
+ PDF Chat	The Genus Fields of Algebraic Number Fields	1976	Makoto Ishida
+ PDF Chat	The 2-class group of biquadratic fields. II	1978	Ezra Brown Charles J. Parry
+ PDF Chat	On $2$-class field towers of imaginary quadratic number fields	1994	Franz Lemmermeyer
+	Number fields with class number congruent to 4 mod 8 and Hilbert's theorem 94	1976	Hershy Kisilevsky
+ PDF Chat	Divisibilit\'e par 8 du nombr des classes des corps quadratiques dont le 2-groupe des classes est cyclique, et r\'eciprocit\'e biquadratique	1973	Par Pierre KAPLAN
+ PDF Chat	Classes et unités des extensions cycliques réelles de degré 4 de ${\bf Q}$	1979	Marie-Nicole Gras
+ PDF Chat	Kuroda's class number formula	1994	Franz Lemmermeyer