Parity of class numbers and Witt equivalence of quartic fields

Jakubec, Stanislav; Marko, František; Szymiczek, Kazimierz

doi:10.1090/S0025-5718-1995-1308455-1

Parity of class numbers and Witt equivalence of quartic fields
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by Stanislav Jakubec, František Marko and Kazimierz Szymiczek PDF

Math. Comp. 64 (1995), 1711-1715 Request permission

Corrigendum: Math. Comp. 66 (1997), 927-927.

Abstract:

We show that 27 out of the 29 Witt equivalence classes of quartic number fields can be represented by fields of class number 1. It is known that the remaining two classes contain solely fields of even class numbers. We show that these two classes can be represented by fields of class number 2.

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