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Synopsis
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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About the Author
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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- PublisherLAP LAMBERT Academic Publishing
- Publication date2010
- ISBN 10 3838380045
- ISBN 13 9783838380049
- BindingPaperback
- LanguageEnglish
- Number of pages96
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Procyclic Galois Extensions of Algebraic Number Fields
Published by
LAP LAMBERT Academic Publishing Jul 2010, 2010
ISBN 10: 3838380045
ISBN 13: 9783838380049
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: 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. Seller Inventory # 9783838380049
Quantity: 2 available
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Procyclic Galois Extensions of Algebraic Number Fields
Published by
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838380045
ISBN 13: 9783838380049
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Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: 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). Seller Inventory # 9783838380049
Quantity: 1 available
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Procyclic Galois Extensions of Algebraic Number Fields
Published by
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838380045
ISBN 13: 9783838380049
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Seller: moluna, Greven, Germany
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Procyclic Galois Extensions of Algebraic Number Fields
Published by
LAP LAMBERT Academic Publishing Jul 2010, 2010
ISBN 10: 3838380045
ISBN 13: 9783838380049
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. 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).Books on Demand GmbH, Überseering 33, 22297 Hamburg 96 pp. Englisch. Seller Inventory # 9783838380049
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