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On ideal class groups of algebraic number fields

On ideal class groups of algebraic number fields

1. Introduction.Nagel [4] proved in 1922 that there exist infinitely many imaginary quadratic number fields with the class numbers divisible by a given natural number.Yamamoto [6] obtained a stronger result for quadratic fields and showed that the same holds also or real quadratic case.On the other hand, Nagel's theorem was …