论文标题
本地Kronecker-Weber定理的基本证明
An Elementary Proof of the Local Kronecker-Weber Theorem
论文作者
论文摘要
我们将展示本地Kronecker-Weber定理的新颖基本和独立的证据。除了离散的估值理论外,它不利用除了代数的第二届大学课程中引入的工具之外的任何工具。特别是,我们将不利用本地阶级现场理论或GALOIS共同体的结果。
We will present a novel elementary and self-contained proof of the local Kronecker-Weber theorem. Apart from discrete valuation theory, it does not make use of any tools beyond those introduced in a second undergraduate course on algebra. In particular, we will not make use of results from local class field theory or Galois cohomology.