Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors
Byeon, Dongho ; Lee, Shinae
Proc. Japan Acad. Ser. A Math. Sci., Tome 84 (2008) no. 1, p. 8-10 / Harvested from Project Euclid
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Let $g \geq 2$ and $n \geq 1$ be integers. In this paper, we shall 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 shall show that there are infinitely many imaginary quadratic fields whose 2-class group is a cyclic group of order divisible by $2^{n}$.
Publié le : 2008-01-15
Classification:  Class number,  imaginary quadratic fields,  11R11,  11R29 
@article{1201186678,
     author = {Byeon, Dongho and Lee, Shinae},
     title = {Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {84},
     number = {1},
     year = {2008},
     pages = { 8-10},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1201186678}
}

Byeon, Dongho; Lee, Shinae. Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors. Proc. Japan Acad. Ser. A Math. Sci., Tome 84 (2008) no. 1, pp.  8-10. http://gdmltest.u-ga.fr/item/1201186678/