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http://dx.doi.org/10.14403/jcms.2010.23.3.547

ON HILBERT 2-CLASS FIELD TOWERS OF REAL QUADRATIC FUNCTION FIELDS  

Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.3, 2010 , pp. 547-553 More about this Journal
Abstract
In this paper we prove that real quadratic function field F over ${\mathbb{F}}_q(T)$ has infinite 2-class field tower if the 4-rank of narrow ideal class group of F is equal to or greater than 4 when $q{\equiv}3$ mod 4.
Keywords
class field tower; real quadratic function field;
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Times Cited By KSCI : 1  (Citation Analysis)
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