Subgroups of ideal class groups of real quadratic algebraic function fields

被引：0

作者：

Wang, KP ^{[1
]}

Zhang, XK

机构：

[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100039, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2003年 / 46卷 / 03期

关键词：

algebraic function field; quadratic function field; ideal class group; ideal class number; continued fraction of function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Necessary and sufficient condition on real quadratic algebraic function fields K is given for their ideal class groups H(K) to contain cyclic subgroups of order n. And eight series of such real quadratic function fields K are obtained whose ideal class groups contain cyclic subgroups of order n. In particular, the ideal class numbers of these function fields are divisible by n.

引用

页码：339 / 345

页数：7

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