Units and 2-class field towers of some multiquadratic number fields

Authors: MOHAMED MAHMOUD CHEMS-EDDIN, ABDELKADER ZEKHNINI, ABDELMALEK AZIZI

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.

Keywords: Multiquadratic number fields, unit groups, 2-class groups, Hilbert 2-class field towers

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