Introduction to Galois Cohomology and it

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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 exp…

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    Om Introduction to Galois Cohomology and it

    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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    Detaljer

    Format
    E-Bok
    Filformat
    PDF
    Utgivelsesår
    2010
    Forlag
    Cambridge University Press
    Språk
    Engelsk
    ISBN
    9781107207578

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