Computation of Hilbert sequence for composite quadratic extensions using different type of primes in Q

First, we will give all necessary definitions and theorems. Then the definition of a Hilbert sequence by using a Galois group is introduced. Then by using the Hilbert sequence, we will build tower fields for extension K/k, where K=k(d1,d2) and k=Q for different primes in Q.

Bibliographic Details
Main Authors: M. Haghighi, J. Miller
Format: Article
Language:English
Published: Hindawi Limited 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171297000070