This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. In all it is a virtually complete treatment of a vast array of central topics in algebraic number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.The push-out of i1 and i2 is a commutative diagram of pro-c-groups with the universal property that any two homomorphisms na#39;l ... and LP(9c1 69 x2) = [11( 231) a h2(902), where hl and hz are induced by the inclusions H A G1 and H A G2.

Title | : | Cohomology of Number Fields |

Author | : | Jürgen Neukirch, Alexander Schmidt, Kay Wingberg |

Publisher | : | Springer Science & Business Media - 2013-09-26 |

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