A Formula For the S-Class Number of an Algebraic Torus
Number Theory
2016-11-08 v1
Abstract
We obtain a formula for the S-class number of an algebraic torus defined over a number field in terms of the etale and Galois cohomology groups of its character module. As applications, we give different proofs of some classical class number formulas of Shyr, Ono, Katayama and Morishita.
Keywords
Cite
@article{arxiv.1611.01718,
title = {A Formula For the S-Class Number of an Algebraic Torus},
author = {Minh-Hoang Tran},
journal= {arXiv preprint arXiv:1611.01718},
year = {2016}
}