Litcius/Paper detail

Units and2-class field towers of some multiquadratic number fields

Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini, Abdelmalek Azizi

2020TURKISH JOURNAL OF MATHEMATICS18 citationsDOIOpen Access PDF

Abstract

In this paper, we investigate the unit groups, the 2-class groups, the 2-class field towers and the structures of the second 2-class groups of some multiquadratic number fields of degree 8 and 16.

Topics & Concepts

MathematicsClass (philosophy)Field (mathematics)Unit (ring theory)Class numberAlgebraic number fieldPure mathematicsDegree (music)GeometryMathematics educationArtificial intelligenceComputer sciencePhysicsQuadratic equationAcousticsAlgebraic Geometry and Number Theory