Vol. 122, No. 1, 1986

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On class numbers of cyclic quartic fields

Tsuyoshi Uehara

Vol. 122 (1986), No. 1, 251–255
Abstract

Let n be a given natural number and F a quadratic field contained in a cyclic quartic field. In this paper we shall construct infinitely many imaginary cyclic quartic fields containing F whose relative class numbers are divisible by n.

Mathematical Subject Classification 2000
Primary: 11R29
Secondary: 11R16
Milestones
Received: 15 November 1984
Published: 1 March 1986
Authors
Tsuyoshi Uehara