Abstract: We show that there exist infinitely many quartic number fields K with large class numbers such that K∕Q is a Galois extension whose Galois group is isomorphic to a given finite group. Cho and Kim proved that there are infinitely many totally real cyclic extensions over Q of degree 4 with large class numbers. We consider all the other cases of quartic Galois extensions.
Publication Year: 2020
Publication Date: 2020-02-01
Language: en
Type: article
Indexed In: ['crossref']
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