Bredek, Tim (2022) The Hasse-Minkowski Theorem. Bachelor's Thesis, Mathematics.
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Abstract
In this thesis, the Hasse-Minkowski theorem is proven for the rational numbers. We define the p-adic numbers, and then explore properties of the p-adic numbers. The Hilbert symbol is defined, and multiple properties of it are proven. Quadratic forms are introduced and we develop theories on quadratic forms that are needed to prove the Hasse-Minkowski theorem.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Lorscheid, O. and Kilicer, P. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 28 Jul 2022 11:43 |
| Last Modified: | 20 Feb 2024 15:33 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/27909 |
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