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.
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.
|Full text:||(AM) Accepted Manuscript|
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|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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