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