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 Hilbert $2$-class field towers of imaginary quadratic function fields Bull. Korean Math. Soc. 2013 Vol. 50, No. 3, 1049-1060 https://doi.org/10.4134/BKMS.2013.50.3.1049Printed May 31, 2013 Hwanyup Jung Chungbuk National University Abstract : In this paper we study the infiniteness of Hilbert $2$-class field towers of imaginary quadratic function fields over $\bF_{q}(T)$, where $q$ is a power of an odd prime number. Keywords : Hilbert $2$-class field tower, imaginary quadratic function field MSC numbers : 11R11, 11R58 Downloads: Full-text PDF