
Author's: Abdelmalek Azizi, Abdelkader Zekhnini and Mohammed Taous
 Pages: [79] - [92]
Received Date: January 25, 2014
Submitted by: 
Let  (mod 4) be primes such that
 (mod 4) be primes such that  Put
 Put  and
 and  Let
 Let  be the Hilbert 2-class field of
 be the Hilbert 2-class field of  be the Hilbert 2-class field of
  be the Hilbert 2-class field of  and G be the Galois group of
 and G be the Galois group of
 the 2-part of the class 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
 is of type (2, 2, 2). Our goal is to study
the 2-class field towers of  and characterize the order of G.
 and characterize the order of G.
2-class group, Hilbert 2-class field tower, genus field.