Galois module structure of cyclic extensions of local Fields of characteristic zero

Sébastien Bosca

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arXiv · 2304.02551

Galois module structure of cyclic extensions of local Fields of characteristic zero

Sébastien Bosca

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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*.

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Sébastien Bosca. 2023-04-05. Galois module structure of cyclic extensions of local Fields of characteristic zero. https://arxiv.org/abs/2304.02551

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