The generators of the 2-class group of some fields ℚ(√pq1q2,i): Correction to theorem 3 of [5]

Abstract

Let p, q 1 and q 2 be different primes satisfying the condition that the 2-class group of the fiel k = ℚ((Formula presented.),i) is of type (2, 2, 2). In this paper, we are interested to give the generators of C k,2, the 2-class group of k, which corrects the Theorem 3 of A. Azizi, A. Zekhnini and M. Taous: On the generators of the 2-class group of the field k = ℚ(√d,i), IJPAM, Volume 81, No. 5 (2012), 773-784.