Structure and prime decomposition law and relative extensions of abelian fields with prime power deg

• 作 者: 张贤科
• 机 构: 1.DepartmentofMathematics
• 出 处: 中国科学：数学英文版
• 发表日期: 1999年8期
• 关键词: algebraic number FIELD ABELIAN FIELD PRIME DECOMPOSITION RELATIVE extension INER
• 基金项目: Project supported by the National Natural Science Foundation of China (Grant No. 19771052).

Let L be an abelian extension of the rationals Q whose Galois group Gal(L) is an abelian (q-group q is any prime number). The explicit law of prime decomposition in L for any prime number p, the inertia group, residue class degree, and discriminant of L a