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A uniform proof of the finiteness of the class group of a global field (2021)
Journal Article
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

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