Cohomology Of Number Fields

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Bol Suitable for students, as well as for the working mathematicians on cohomological topics in number theory, this book provides algebraic background: cohomology of profinite groups, duality groups, free products, and homotopy theory of modules, with sections on spectral sequences and on Tate cohomology of profinite groups. In the words of a reviewer: “This monograph gives a very complete treatment of a vast array of cental topics in algebraic number theory There is so much material written down systematically which was known to the experts, but whose detailed proof did not actually exist in the literature (most notable amongst these is the celebrated duality theorem of Poitou and Tate)”

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Suitable for students, as well as for the working mathematicians on cohomological topics in number theory, this book provides algebraic background: cohomology of profinite groups, duality groups, free products, and homotopy theory of modules, with sections on spectral sequences and on Tate cohomology of profinite groups. In the words of a reviewer: “This monograph gives a very complete treatment of a vast array of cental topics in algebraic number theory There is so much material written down systematically which was known to the experts, but whose detailed proof did not actually exist in the literature (most notable amongst these is the celebrated duality theorem of Poitou and Tate)”


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