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).
|Number of Pages||96|
|Country of Manufacture||India|
|Product Brand||LAP LAMBERT Academic Publishing|
|Product Packaging Info||Box|
|In The Box||1 Piece|
|Product First Available On ClickOnCare.com||2015-07-25 00:00:00|