Multiplicities of Discriminants
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Description: Formulae and tables for the number of non isomorphic fields with a fixed signature and Galois group sharing a common discriminant.
Multiplicities of Discriminants How many fields share a common discriminant? What is the meaning of the discriminant? is derived from the latin word "discriminare", which means "to distinguish". Until the first quarter of the 20th century it was believed that algebraic number fields with a fixed signature and Galois group can be identified uniquely up to isomorphisms by the integer value of the discriminant of their maximal order. In this case, non isomorphic fields could be distinguished uniquely by the discriminant.
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| Page title: | Multiplicities of Discriminants |
| Keywords: | Multiplicities, Discriminants, Class Field Theory, Kummer Theory, Algebraic Number Fields, Dihedral Fields, Metacyclic Fields |
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| IP-address: | 213.33.76.75 |
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| Date | changed: 20031112 23:49:28 changed: 20010330 10:53:35 changed: 20080122 15:50:45 changed: 20110613 14:49:52 |