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http://dx.doi.org/10.14403/jcms.2013.26.3.517

HILBERT 3-CLASS FIELD TOWERS OF REAL CUBIC FUNCTION FIELDS  

Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.3, 2013 , pp. 517-523 More about this Journal
Abstract
In this paper we study the infiniteness of Hilbert 3-class field tower of real cubic function fields over $\mathbb{F}_q(T)$, where $q{\equiv}1$ mod 3. We also give various examples of real cubic function fields whose Hilbert 3-class field tower is infinite.
Keywords
Hilbert 3-class field tower; real cubic function field;
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Times Cited By KSCI : 1  (Citation Analysis)
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