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Determination of all subfields of cyclotomic function fields with divisor class number two

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Abstract

In this paper, we determine all subfields of cyclotomic function fieldswith divisor class number two.We also give the generators of such fields explicitly.

참고문헌 (12)

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  2. "Ray class fields of global function fields with many rational places" (1999), Dissertation at the University of Oldenburg
  3. "Class numbers of some abelian extensions of rational function fields", 73(245), pp.377~386 (2004)
  4. "Classification of algebraic function fields with divisor class number two", 2(2), pp.153~172 (1996)
  5. "The group of units in {rm GF", pp.245~ (1977)
  6. "The genus field of an algebraic function field", pp.359~ (1992)
  7. "Divisor class number one problem for abelian extensions over rational function fields { to appear in J"
  8. "Determination of all subfields of cyclotomic function fields with genus one", 20(2), pp.259~273 (2005)
  9. "Algebraic function fields with small class number", pp.11~ (1975)
  10. "Algebraic function fields of class number one", pp.423~20 (1972), { Acta Arith
  11. "Number theory in function fields", 210 (2002), Springer-Verlag, New York
  12. "Introduction to cyclotomic fields", 83 (1997), Springer-Verlag, New York

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