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

정환엽
한국수학교육학회|2013.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제20권 제2호|pp. 79-87

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키워드

quadratic function fieldHilbert 2 class field towerinert imaginary
주제분류수학

초록

In this paper we study the infiniteness of Hilbert 2-class field towers of inert imaginary quadratic function fields over Fq(T), where q is a power of an odd prime number.

Abstract

In this paper we study the infiniteness of Hilbert 2-class field towers of inert imaginary quadratic function fields over Fq(T), where q is a power of an odd prime number.

참고문헌 (6)

  1. S. Bae, "The generalized Redei matrix for function fields", Finite Fields and Their Applications, 18(4), pp.760~780 (2012)
  2. H. Jung, "Hilbert 2-class field towers of imaginary quadratic function fields", ~
  3. H. Jung, "Hilbert 2-class field towers of real quadratic function fields", ~
  4. M. Rosen, "The Hilbert class field in function fields", Exposition. Math, 5(4), pp.365~378 (1987)
  5. M. Rosen, "Number theory in function fields. Graduate Texts in Mathematics, 210" (2002), Springer-Verlag
  6. R. Schoof, "Algebraic curves over F2 with many rational points", J. Number Theory, 41(1), pp.6~14 (1992)

관련 논문AI추천

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