Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (1): 31-37.

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GENUS FIELDS, CONDUCTORS AND RELATIVE INTEGRAL BASES FOR ABELIAN FUNCTION FIELDS

Zhao Jianqiang   

  1. Dept. of Math., Univ. of Sci. & Tech. of China, Hefei 250026, China
  • Received:1993-12-30 Online:1996-03-25 Published:1996-03-25
  • Supported by:
    This work was done at USTC when the author was a graduate student in a special program of Nankai University.

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Abstract: For a finite abelian tame extension L/Fq(T), we will determine its genus field and conductor in this paper, and prove the existence theorems of the relative integral bases for L over any of its subfields.

Key words: Genus field, relative integral base, abelian funciton field

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