On a Class of Number Fields of Eisenstein Type

作     者：JIANG Jian-jun(College of Science, Southwest University of Science and Technology, Mianyang 621002, China) 

作者机构：College of Science Southwest University of Science and Technology Mianyang 621002 China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊(英文版))

年 卷 期：2004年第19卷第4期

页      面：368-372页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：SupportedbytheYouthTeacherFoundationofSouthwestUniversityofScienceandTechnology(033069) 

主　　题：number field of Eisenstein type totally ramified prime ideal factorization element of Eisenstein type subfield of degree p 

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.