An elementary proof of the local Kronecker-Weber theorem

Jochen Koenigsmann; Benedikt Stock

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arXiv · 2206.05801

An elementary proof of the local Kronecker-Weber theorem

Jochen Koenigsmann·Benedikt Stock

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Abstract

We will present a novel elementary, self-contained, and explicit proof of the local Kronecker-Weber theorem. Apart from discrete valuation theory, it does not make use of any tools beyond those introduced in a second undergraduate course on algebra. In particular, we will not make use of results from local class field theory or Galois cohomology.

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Jochen Koenigsmann, Benedikt Stock. 2022-06-12. An elementary proof of the local Kronecker-Weber theorem. https://arxiv.org/abs/2206.05801

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