An introduction to Galois cohomology and its applications

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.

著者

Berhuy, Grégory、Berhuy Gregory

出版社

Cambridge University Press

発売日

2010年1月発売

価格

価格未定（税込・書誌情報提供：openBD）

ISBN

9780521738668

発売済み