International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 1, Pages 43-46
doi:10.1155/S0161171297000070

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

M. Haghighi and J. Miller

 Department of Computer Science, Bradley University, Peoria 61625, IL, USA
Received 3 April 1995; Revised 3 July 1995

Abstract

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.