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Subgroups of ideal class groups of real quadratic algebraic function fields |
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| Authors: | |
| Institution: | 1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100039, China 2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
| Abstract: | 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. |
| Keywords: | algebraic function field quadratic function field ideal class group ideal class number continued fraction of function |
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