Volume no :11, Issue no: 2, June (2014)

ON THE 2-CLASS FIELD TOWERS OF SOME FIELDS

Author's: Abdelmalek Azizi, Abdelkader Zekhnini and Mohammed Taous
Pages: [79] - [92]
Received Date: January 25, 2014
Submitted by:

Abstract

Let (mod 4) be primes such that Put and Let be the Hilbert 2-class field of be the Hilbert 2-class field of and G be the Galois group of the 2-part of the class group of is of type (2, 2, 2). Our goal is to study the 2-class field towers of and characterize the order of G.

Keywords

2-class group, Hilbert 2-class field tower, genus field.