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In mathematics, the ideal class group (or class group) of an algebraic number field K {\displaystyle K} is the quotient group J K / P K {\displaystyle J_{K}/P_{K}} where J K {\displaystyle J_{K}} is the group of fractional ideals of the ring of integers of K {\displaystyle K} , and P K {\displaystyle P_{K}} is its subgroup of principal ideals. The class…
History, History and origin of the ideal class group & Examples of ideal class groups
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ideal class displaystyle group number integers ring principal domain field dedekind algebraic ideals sqrt fields mathbb unique factorization theory classes
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Ideal class group | related to Connections to class field theory | Class | 0.60 | section |
| Ideal class group | related to Connections to class field theory | Galois | 0.60 | section |
| Ideal class group | related to Connections to class field theory | Hilbert | 0.60 | section |
| Ideal class group | related to Connections to class field theory | The Hilbert | 0.60 | section |
| Ideal class group | related to Connections to class field theory | Every | 0.60 | section |
| Ideal class group | related to Definition | If | 0.60 | section |
| Ideal class group | related to Definition | It | 0.60 | section |
| Ideal class group | related to Definition | The | 0.60 | section |
| Ideal class group | related to Definition | Ideal | 0.60 | section |
| Ideal class group | related to Definition | IJ | 0.60 | section |
| Ideal class group | related to Definition | Thus | 0.60 | section |
| Ideal class group | related to Definition | In | 0.60 | section |
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