Kronecker-Weber via Stickelberger
Franz Lemmermeyer
TL;DR
This paper presents a novel proof of the Kronecker-Weber theorem utilizing Kummer theory and Stickelberger's theorem, offering new insights into abelian extensions of the rationals.
Contribution
It introduces a new proof method for the Kronecker-Weber theorem based on classical algebraic number theory tools.
Findings
New proof of Kronecker-Weber theorem
Utilizes Kummer theory and Stickelberger's theorem
Provides alternative perspective on abelian extensions
Abstract
We give a new proof of the theorem of Kronecker-Weber based on Kummer theory and Stickelberger's theorem.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFunctional Equations Stability Results · Advanced Topics in Algebra · Mathematics and Applications