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Bull. Korean Math. Soc. 2013; 50(3): 1049-1060

Printed May 31, 2013

https://doi.org/10.4134/BKMS.2013.50.3.1049

Copyright © The Korean Mathematical Society.

Hilbert $2$-class field towers of imaginary quadratic function fields

Hwanyup Jung

Chungbuk National University

Abstract

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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

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