An Elementary Proof of the Local Kronecker-Weber Theorem

DOI10.2307/1999753zbMath0474.12014OpenAlexW4205303296WikidataQ56455699 ScholiaQ56455699MaRDI QIDQ3929838

Michael I. Rosen

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1999753

zbMATH Keywords

Kummer theoryGalois module structureKronecker-Weber theoremLubin-Tate constructionmaximal abelian extensions of a local field

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Class field theory; (p)-adic formal groups (11S31)

Related Items (3)

Cohen-Lenstra heuristics and the Spiegelungssatz: number fields ⋮ Local class field theory via Lubin-Tate theory ⋮ On the local Kronecker-Weber theorem

Cites Work

• Local class field theory is easy
• Formal complex multiplication in local fields

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