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Dihedral and cyclic extensions with large class numbers

Dihedral and cyclic extensions with large class numbers

This paper is a continuation of [2]. We construct unconditionally several families of number fields with large class numbers. They are number fields whose Galois closures have as the Galois groups, dihedral groups D n , n=3,4,5, and cyclic groups C n , n=4,5,6. We first construct families of number …