On imaginary quadratic function fields with the ideal class group to be exponent ≤2  

作　　者：HU Weiqun Department of Fundamental Science, Nanjing Agriculture College, Nanjing 210038, China 

出　　处：《Chinese Science Bulletin》1998年第24期2055-2059,共0页

摘　　要：A necessary condition is presented for the ideal class group of an imaginary quadratic function field K=k(D) (k=F-q(x), 2q) to be of exponent ≤2. The condition is proved to be sufficient in some cases. An analogue of Louboutin’s result in function field case is particularly presented.A necessary condition is presented for the ideal class group of an imaginary quadratic function fieldK = k (√D) (k = F q (x), 2?q) to be of exponent ≤2. The condition is proved to be sufficient in some cases. An analogue of Louboutin’s result in function field case is particularly presented.

关 键 词：imaginary QUADRATIC function field IDEAL CLASS GROUP IDEAL CLASS number. 

分 类 号：O153[理学—数学]