An Introduction to Galois Cohomology and its Applications / Grégory Berhuy.
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TextSeries: London Mathematical Society Lecture Note Series ; no. 377Publisher: Cambridge : Cambridge University Press, 2010Description: 1 online resource (328 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781139107051 (ebook)Other title: An Introduction to Galois Cohomology & its ApplicationsSubject(s): Galois cohomologyAdditional physical formats: Print version: : No titleDDC classification: n/a LOC classification: QA612.3 | .B47 2010Online resources: Click here to access online Summary: This is the first elementary introduction to Galois cohomology and its applications. The first part is self-contained and provides the basic results of the theory, including a detailed construction of the Galois cohomology functor, as well as an exposition of the general theory of Galois descent. The author illustrates the theory using the example of the descent problem of conjugacy classes of matrices. The second part of the book gives an insight into how Galois cohomology may be used to solve algebraic problems in several active research topics, such as inverse Galois theory, rationality questions or the essential dimension of algebraic groups. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12237 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
This is the first elementary introduction to Galois cohomology and its applications. The first part is self-contained and provides the basic results of the theory, including a detailed construction of the Galois cohomology functor, as well as an exposition of the general theory of Galois descent. The author illustrates the theory using the example of the descent problem of conjugacy classes of matrices. The second part of the book gives an insight into how Galois cohomology may be used to solve algebraic problems in several active research topics, such as inverse Galois theory, rationality questions or the essential dimension of algebraic groups. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.
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