IJPAM: Volume 81, No. 5 (2012)

ON THE GENERATORS OF
THE 2-CLASS GROUP OF THE FIELD $\K$

Abdelmalek Azizi$^1$, Abdelkader Zekhnini$^2$, Mohammed Taous$^3$
Department of Mathematics
Faculty of Science
Mohammed First University
Oujda, MOROCCO
$^3$Department of Mathematics
Faculty of Science and Technology
Moulay Ismail University
Errachidia, MOROCCO


Abstract. Let $d$ be a square free integer such that the 2-class group of the field $\K$ is of type (2, 2, 2). In this paper we give the generators of the 2-class group of $\K$.

Received: August 1, 2012

AMS Subject Classification: 11R37, 11R27, 11R29

Key Words and Phrases: class group of type (2,2,2), Hilbert class field

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 5