On a Characterization of the First Ramification Group as the Vertex of the Ring of Integers

Author:

Miyata Yoshimasa

Abstract

Let k be a p-adic number field and o be the ring of all integers in k. Moreover, let K\k be a finite Galois extension with the Galois group G = G(K/k). Then the ring of all integers in K is an -module.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Defect theory for maximal ideals and simple functors;Journal of Algebra;1991-07

2. Vertices of ideals of a $mathfrak{P}$-adic number field;Illinois Journal of Mathematics;1987-06-01

3. Remarks on the history and applications of integral representations;Integral Representations and Applications;1981

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