• Anglický jazyk

Procyclic Galois Extensions of Algebraic Number Fields

Autor: David Brink

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... Viac o knihe

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O knihe

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).

  • Vydavateľstvo: LAP LAMBERT Academic Publishing
  • Rok vydania: 2010
  • Formát: Paperback
  • Rozmer: 220 x 150 mm
  • Jazyk: Anglický jazyk
  • ISBN: 9783838380049

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