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Algebraic Patching - Moshe Jarden

Anglų
2013-02-25
63,51 € 84,68 €

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Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields". Among others, it leads to the solution of two central results in "Field Arithmetic": (a) The absolute Galois group of a cou ... Visas aprašymas

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Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields". Among others, it leads to the solution of two central results in "Field Arithmetic": (a) The absolute Galois group of a countable Hilbertian pac field is free on countably many generators; (b) The absolute Galois group of a function field of one variable over an algebraically closed field $C$ is free of rank equal to the cardinality of $C$.

Daugiau informacijos

Autorius Moshe Jarden
Leidėjas Springer Berlin Heidelberg
Series Springer Monographs in Mathematics
Išleidimo metai 2013
Viršelio tipas Minkšti viršeliai
EAN 9783642266515
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63,51 € 84,68 €