四川大学学报（自然科学版）1999，Vol.36Issue(4)：659,1.
Kummer函数域的理想类群
The Ideal Class Groups of Kummer Function Fields
彭国华1
作者信息
- 1. 四川大学数学学院,四川成都,610064
- 折叠
摘要
Abstract
The author obtained an explicit 2-rank formula for the ideal class groups of quadratic function fields and also get a lower bound for the l-rank of the ideal class groups of l-th Kummer function fields.Consequently,the author determined all l-th Kummer function fields whose ideal class numbers are prime to l.It′s also proved that if the l-Sylow subgroup of the ideal class group of a l-th Kummer function field is cyclic then it must be of order l.关键词
函数域/理想类群/Kummer函数域/l秩Key words
function field/Kummer field/ideal class group/l-rank分类
数理科学引用本文复制引用
彭国华..Kummer函数域的理想类群[J].四川大学学报（自然科学版）,1999,36(4):659,1.
