Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2014; 29(2): 219-226

Printed April 1, 2014

https://doi.org/10.4134/CKMS.2014.29.2.219

Copyright © The Korean Mathematical Society.

Hilbert $2$-class field towers of real 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 real quadratic function fields over $\bF_{q}(T)$, where $q$ is a power of an odd prime number.

Keywords: Hilbert $2$-class field tower, real quadratic function field

MSC numbers: 11R11, 11R58

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