Galois module structure of cyclic extensions of local Fields of characteristic zero
Number Theory
2023-04-06 v1
Abstract
We describe the exact G-module F* for any cyclic extension F/K of locals fields of characteristic zero, where G is the Galois group of F/K. We also describe a parametrized space Wa,b,m,n which is most often a direct factor in F*.
Keywords
Cite
@article{arxiv.2304.02551,
title = {Galois module structure of cyclic extensions of local Fields of characteristic zero},
author = {Sébastien Bosca},
journal= {arXiv preprint arXiv:2304.02551},
year = {2023}
}
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39 pages