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Galois Embedding Problems (Paperback) Loot Price: R1,362 Discovery Miles 13 620
Galois Embedding Problems (Paperback): Vahid Shirbisheh
Galois Embedding Problems (Paperback): Vahid Shirbisheh

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Galois Embedding Problems (Paperback)

Vahid Shirbisheh

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Loot Price R1,362 Discovery Miles 13 620

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This book is concerned with a type of embedding problems in Galois theory known as Galois embedding problems with finite abelian kernels of exponent p over cyclic Galois extensions E/F whose Galois groups are of exponent p and F contains a primitive p-th root of unity. We develop a method to describe all solutions of these problems and apply our method in a special case. Our constructive approach provides the theoretical background for an explicit computation of all Kummer extensions of exponent p over E which are Galois over F too. In Chapter 1, we recollect some basic concepts of Galois theory, inverse Galois theory, Galois embedding problems and infinite Galois theory. We also explain the role of T-groups in infinite Galois theory. Chapter 2 is devoted to a constructive study of the module theory necessary for our work and a theoretical framework to study homomorphism between two finitely generated modules in terms of linear algebra. A relative version of Kummer theory is developed in Chapter 3. This book is concluded with a study of different aspects of our Galois embedding problems in Chapter 4.

General

Imprint: VDM Verlag
Country of origin: Germany
Release date: April 2009
First published: April 2009
Authors: Vahid Shirbisheh
Dimensions: 229 x 152 x 5mm (L x W x T)
Format: Paperback - Trade
Pages: 88
ISBN-13: 978-3-639-14067-5
Barcode: 9783639140675
Categories: Promotions
Books > Science & Mathematics > Mathematics > Algebra
Books > Science & Mathematics > Mathematics > Algebra > General
LSN: 3-639-14067-2

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