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Class number relation between type (l,l/,…, l) function fields over F_q(T) and their subfields

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【作者】 赵健强

【Author】 ZHAO Jianqiang(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China)

【机构】 Department of MathematicsUniversity of Science and Technology of ChinaHefei 230026China

【摘要】 <正> Let L/Fq(T) be a tame abelian extension of type (l, l,...l). The ratio of the degree zero divisor dass number (as well as the ideal class number) of L to the product of corresponding class numbers of all cydic subfields of L is clearly determined.

【Abstract】 Let L/Fq(T) be a tame abelian extension of type (l, l,...l). The ratio of the degree zero divisor dass number (as well as the ideal class number) of L to the product of corresponding class numbers of all cydic subfields of L is clearly determined.

【基金】 This work was done at USTC when the author was a graduate student in a special program of Nankai University.
  • 【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,1995年06期
  • 【分类号】O174
  • 【下载频次】16
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