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| On a Class of Number Fields of Eisenstein Type | |
| 引用本文： | JIANG Jian-jun(College of Science,Southwest University of Science and Technology,Mianyang 621002,China). On a Class of Number Fields of Eisenstein Type[J]. 数学季刊, 2004, 19(4) |
| 作者姓名： | JIANG Jian-jun(College of Science Southwest University of Science and Technology Mianyang 621002 China) |
| 作者单位： | College of Science，Southwest University of Science and Technology，Mianyang 621002，China |
| 基金项目： | SupportedbytheYouthTeacherFoundationofSouthwestUniversityofScienceandTechnology(033069) |
| 摘 要： | In this paper the author determine the factorization of p and the number of p-th subfields of the splitting field K of the irreducible binomial xp ?m(m is p-th powerfree and p | m) and obtain that all p-th subfields of K have power integral bases and the same discriminant. |
On a Class of Number Fields of Eisenstein Type |
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| JIANG Jian-jun. On a Class of Number Fields of Eisenstein Type[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(4) | |
| Authors: | JIANG Jian-jun |
| Abstract: | In this paper the author determine the factorization of p and the number of p-th subfields of the splitting field K of the irreducible binomial xp ?m(m is p-th powerfree and p | m) and obtain that all p-th subfields of K have power integral bases and the same discriminant. |
| Keywords: | number field of Eisenstein type totally ramified prime ideal factorization element of Eisenstein type subfield of degree p |
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