An algebraic proof of Brauer's class number formula
Number Theory
2025-05-05 v1
Abstract
We show how, starting from the Tate exact sequence for units of Ritter and Weiss, one can obtain an algebraic proof of Brauer's class number formula, using the formalism of regulator constants.
Keywords
Cite
@article{arxiv.2505.01349,
title = {An algebraic proof of Brauer's class number formula},
author = {Luca Caputo},
journal= {arXiv preprint arXiv:2505.01349},
year = {2025}
}
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22 pages