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Beschreibung
The main theme of this thesis is the existence and properties of Galois extensions of algebraic number fields with Galois group isomorphic to the additive group of p-adic integers, in short procyclic extensions. However, extensions with non-abelian pro-p-groups as Galois groups are also considered. The connection between procyclic extensions and Leopoldt''s Conjecture is discussed. The notion of p-rationality is defined, and the classification of 2-rational imaginary quadratic fields is given, apparently for the first time (correctly).
Details
| Verlag | LAP LAMBERT Academic Publishing |
| Ersterscheinung | 27. Juli 2010 |
| Maße | 22 cm x 15 cm x 0.6 cm |
| Gewicht | 161 Gramm |
| Format | Softcover |
| ISBN-13 | 9783838380049 |
| Seiten | 96 |
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