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HILBERT 2-CLASS FIELD TOWERS OF REAL QUADRATIC FUNCTION FIELDS

정환엽
대한수학회 (The Korean Mathematical Society)|2014.04|대한수학회논문집 (Communications of the KMS)|제29권 제2호|pp. 219-226

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참고문헌

키워드

Hilbert 2-class field towerreal quadratic function field
주제분류수학

초록

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

참고문헌 (9)

  1. S. Bae, "The generalized Redei matrix for function fields", Finite Fields Appl, 18(4), pp.760~780 (2012)
  2. F. Gerth, "Quadratic fields with infinite Hilbert 2-class field towers", Acta Arith, 106(2), pp.151~158 (2003)
  3. 정환엽, "Imaginary bicyclic function fields with the real cyclic subfield of class number one", 대한수학회보, 45(2), pp.375~384 (2008), 대한수학회
  4. 정환엽, "ON HILBERT 2-CLASS FIELD TOWERS OF REAL QUADRATIC FUNCTION FIELDS", 충청수학회지, 23(3), pp.547~553 (2010), 충청수학회
  5. F. Lemmermeyer, "The 4-class group of real quadratic number fields", Preprint, ~ (1998)
  6. C. Maire, "Un raffinement du theoreme de Golod-Safarevic", Nagoya Math. J, 150, pp.1~11 (1998)
  7. J. Martinet, "Tours de corps de classes et estimations de discriminants", Invent. Math, 44(1), pp.65~73 (1978)
  8. M. Rosen, "The Hilbert class field in function fields", Exposition. Math, 5(4), pp.365~378 (1987)
  9. R. Schoof, "Algebraic curves over F2 with many rational points", J. Number Theory, 41(1), pp.6~14 (1992)

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