Integral Normal Bases in Galois Extensions of Local Fields

1 August 1970

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

Vol. 39, 141-148
https://doi.org/10.1017/s0027763000013751

Abstract

Throughout this paper F denotes a field complete with respect to a discrete valuation, k_F the residue field of F, K/F a finite Galois extension with Galois group G = G(K/F). The ring of integers 0_K of K contains the (unique) prime ideal ; the collection of ideals ⁿ for all integers n are ambiguous ideals i.e. G-modules.

Keywords

K/F
K CONTAINS
PRIME IDEAL
FIELD COMPLETE
INTEGERS 0K
LOCAL FIELDS
IDEALS I.E
GALOIS GROUP

This publication has 2 references indexed in Scilit:

Induced Representations and Projective Modules
Annals of Mathematics, 1960
Modules Over Finite Groups
Annals of Mathematics, 1959