A Uniform Proof of the Finiteness of the Class Group of a Global Field

DOI10.1080/00029890.2021.1855036zbMath1469.11444arXiv1909.07121OpenAlexW3130367187MaRDI QIDQ4964193

Alexander Stasinski

Publication date: 25 February 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07121

zbMATH Keywords

absolute valuesclass groupDedekind domainglobal fieldsdeterminant as a homogeneous function

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (1)

A formalization of Dedekind domains and class groups of global fields

Uses Software

• MathOverflow

Cites Work

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• K-theory of finite groups and orders. Notes by E. Graham Evans
• Overrings of Commutative Rings. II. Integrally Closed Overrings
• Rings with Finite Norm Property
• Axiomatic characterization of fields by the product formula for valuations
• Integral domains with quotient overrings

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