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

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
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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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