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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.20 No.2

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2013, v.20 no.2, pp.79-87
https://doi.org/10.7468/jksmeb.2013.20.2.79
Jung, Hwanyup
Jung,, H. (2013). Hilbert 2-class field towers of inert imaginary quadratic function fields. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 20(2), 79-87, https://doi.org/10.7468/jksmeb.2013.20.2.79

Abstract

In this paper we study the infniteness of Hilbert 2-class field towers of inert imaginary quadratic function fields over <TEX>$\mathbb{F}_q(T)$</TEX>, where <TEX>$q$</TEX> is a power of an odd prime number.

keywords
Hilbert 2-class field tower, inert imaginary, quadratic function field

Reference

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(2012). The generalized Redei matrix for function fields. Finite Fields and Their Applications, 18(4), 760-780. 10.1016/j.ffa.2012.01.004.

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

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Hilbert 2-class field towers of real quadratic function fields.

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(1987). The Hilbert class field in function fields. Exposition. Math., 5(4), 365-378.

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Number theory in function fields;Graduate Texts in Mathematics, 210.

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(1992). Algebraic curves over <TEX>${\mathbb{F}}_2$</TEX> with many rational points. J. Number Theory, 41(1), 6-14. 10.1016/0022-314X(92)90079-5.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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