Algebraic Patching (Paperback, 2011 ed.)

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 $C$.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Monographs in Mathematics
Release date:	February 2013
First published:	2011
Authors:	Moshe Jarden
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Paperback
Pages:	292
Edition:	2011 ed.
ISBN-13:	978-3-642-26651-5
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	3-642-26651-7
Barcode:	9783642266515

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!