Procyclic Galois Extensions of Algebraic Number Fields - Softcover

Brink, David

 
9783838380049: Procyclic Galois Extensions of Algebraic Number Fields
Softcover
ISBN 10: 3838380045 ISBN 13: 9783838380049
Verlag: LAP LAMBERT Academic Publishing, 2010

Inhaltsangabe

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).

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Über die Autorin bzw. den Autor

David Brink received his Ph.D. from University of Copenhagen in 2006. Since then, he has held positions at Universidade de Brasília and University College Dublin. His research interests are number theory and combinatorics.

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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3838380045
ISBN 13 
9783838380049
Einband
Taschenbuch
Anzahl der Seiten
96
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Saarbrücker Vlg. f. Rechtswissensch.
customerservice@vdm-vsg.de

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