The Absolute Galois Group of a Semi-Local Field
Dan HaranMoshe Jarden
Gebundenes Buch

The Absolute Galois Group of a Semi-Local Field

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This book is devoted to the structure of the absolute Galois groups of certain algebraic extensions of the field of rational numbers. Its main result, a theorem proved by the authors and Florian Pop in 2012, describes the absolute Galois group of distinguished semi-local algebraic (and other) extensions of the rational numbers as free products of the free profinite group on countably many generators and local Galois groups. This is an instance of a positive answer to the generalized inverse problem of Galois theory.Adopting both an arithmetic and probabilistic approach, the book carefully sets...