A uniform proof of the finiteness of the class group of a global field

Stasinski, Alexander

Abstract

We give a definition of a class of Dedekind domains which includes the rings of integers of global fields and give a proof that all rings in this class have finite ideal class group. We also prove that this class coincides with the class of rings of integers of global fields.

Citation

Stasinski, A. (2021). A uniform proof of the finiteness of the class group of a global field. The American Mathematical Monthly, 128(3), 239-249. https://doi.org/10.1080/00029890.2021.1855036

• Journal Article Type: Article
• Acceptance Date: Jun 26, 2020
• Online Publication Date: Feb 18, 2021
• Publication Date: 2021
• Deposit Date: Oct 8, 2020
• Publicly Available Date: Feb 18, 2022
• Journal: American Mathematical Monthly
• Print ISSN: 0002-9890
• Electronic ISSN: 1930-0972
• Publisher: Mathematical Association of America (MAA)
• Peer Reviewed: Peer Reviewed
• Volume: 128
• Issue: 3
• Pages: 239-249
• DOI: https://doi.org/10.1080/00029890.2021.1855036
• Public URL: https://durham-repository.worktribe.com/output/1260010