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Sinopsis
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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Acerca del 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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- EditorialLAP Lambert Academic Publishing
- Año de publicación2010
- ISBN 10 3838380045
- ISBN 13 9783838380049
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas96
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Procyclic Galois Extensions of Algebraic Number Fields
Publicado por
LAP LAMBERT Academic Publishing Jul 2010, 2010
ISBN 10: 3838380045
ISBN 13: 9783838380049
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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). 96 pp. Englisch. Nº de ref. del artículo: 9783838380049
Cantidad disponible: 2 disponibles
Imagen del vendedor
Procyclic Galois Extensions of Algebraic Number Fields
Publicado por
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838380045
ISBN 13: 9783838380049
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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). Nº de ref. del artículo: 9783838380049
Cantidad disponible: 1 disponibles
Imagen del vendedor
Procyclic Galois Extensions of Algebraic Number Fields
Publicado por
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838380045
ISBN 13: 9783838380049
Nuevo
Tapa blanda
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 5418277
Cantidad disponible: Más de 20 disponibles