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

Stasinski, Alexander

doi:10.1080/00029890.2021.1855036

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

Stasinski, Alexander

Authors

Professor Alexander Stasinski alexander.stasinski@durham.ac.uk
Professor

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

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Copyright 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