A Cohomological Investigation of the Discriminant of a Normal Algebraic Number Field

1 February 1966

journal article
research article
Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal

Vol. 27 (1) , 207-211
https://doi.org/10.1017/s0027763000012009

Abstract

1. Let F be an algebraic number field of finite degree, and let K/F be a normal extension of degree n. Denote by O_K the ring of all integers in K. In we proved the following:

Keywords

COHOMOLOGICAL INVESTIGATION
NORMAL EXTENSION
FINITE DEGREE
NORMAL ALGEBRAIC
K/F
INTEGERS
ALGEBRAIC NUMBER

This publication has 2 references indexed in Scilit:

On the Galois cohomology group of the ring of integers in an algebraic number field
Acta Arithmetica, 1962
On the Ring of Integers in an Algebraic Number Field as a representation Module of Galois Group
Nagoya Mathematical Journal, 1960