This is the first detailed elementary introduction to Galois cohomology and its applications. The introductory section is self-contained and provides the basic

Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. T

The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results.

This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Ma

This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well