HILBERT 3-CLASS FIELD TOWERS OF REAL CUBIC FUNCTION FIELDS

Abstract

Abstract. In this paper we study the infiniteness of Hilbert 3-class field tower of real cubic function fields over Fq(T), where q ≡ 1 mod 3. We also give various examples of real cubic function fields whose Hilbert 3-class field tower is infinite. 1

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oai:CiteSeerX.psu:10.1.1.977.3556Last time updated on 11/2/2017

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