By Grégory Berhuy

ISBN-10: 0521738660

ISBN-13: 9780521738668

This publication is the 1st hassle-free advent to Galois cohomology and its functions. the 1st half is self contained and offers the elemental result of the idea, together with an in depth development of the Galois cohomology functor, in addition to an exposition of the final conception of Galois descent. the complete thought is stimulated and illustrated utilizing the instance of the descent challenge of conjugacy periods of matrices. the second one a part of the ebook supplies an perception of the way Galois cohomology should be priceless to resolve a few algebraic difficulties in different lively study themes, similar to inverse Galois thought, rationality questions or crucial size of algebraic teams. the writer assumes just a minimum historical past in algebra (Galois idea, tensor items of vectors areas and algebras).