Kniha Algebraic Patching Moshe Jarden

Algebraic Patching

Autor: Moshe Jarden
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
1 147
Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching"...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2011
Stránek
292
EAN
9783642151279
ISBN
3642151272
Enbook ID
01656445
Hmotnost
582
Rozměry
160 x 239 x 22

Kompletní popis

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 $C$.

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