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Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors. (English) Zbl 1226.11117
Summary: Let g2 and n1 be integers. In this paper, we show that there are infinitely many imaginary quadratic fields whose class number is divisible by 2g and whose discriminant has only two prime divisors. As a corollary, we show that there are infinitely many imaginary quadratic fields whose 2-class group is a cyclic group of order divisible by 2 n .
MSC:
11R29Class numbers, class groups, discriminants
11R11Quadratic extensions