Work

Fields ℚ(d3,ζ3) whose 3-class group is of type (9,3)

Year: 2019

Type: article

Abstract: Let [Formula: see text] with [Formula: see text] a cube-free positive integer. Let [Formula: see text] be the 3-class group of k. With the aid of genus theory, arithmetic properties of the pure cubic field [Formula: see text] and some results on the 3-class group [Formula: see text], we determine all integers [Formula: see text] such that [Formula: see text].

Source: International Journal of Number Theory

DOI: 10.1142/s1793042119500817

Authors: Siham Aouissi, Moulay Chrif Ismaili, Mohamed Talbi, Abdelmalek Azizi

Institution: Mohamed I University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2802381583

FWCI: 0.599

Cites: 7

Cited by: 2

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