Stasinski, Alexander (2021) 'A uniform proof of the finiteness of the class group of a global field.', The American mathematical monthly., 128 (3). pp. 239-249.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (435Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1080/00029890.2021.1855036 |
| Publisher statement: | This is an Accepted Manuscript of an article published by Taylor & Francis in The American mathematical monthly on 18 February 2021, available online: http://www.tandfonline.com/10.1080/00029890.2021.1855036 |
| Date accepted: | 26 June 2020 |
| Date deposited: | 08 October 2020 |
| Date of first online publication: | 18 February 2021 |
| Date first made open access: | 18 February 2022 |
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