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

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.