Minh-Hoang Tran, (2017) A formula for the S-class number of an algebraic torus. JOURNAL OF NUMBER THEORY, 181. pp. 218-239. ISSN 0022-314X, 1096-1658
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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. (C) 2017 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GALOIS EXTENSIONS; Class number formula; Algebraic torus; Galois cohomology; Etale cohomology; Artin-Verdier duality |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:19 |
| Last Modified: | 19 Feb 2019 13:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1823 |
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