The Cohomology of Groups (Oxford Mathematical Monographs)

This expertly written volume presents a useful, coherent account of the theory of the cohomology ring of a finite group. The book employs a modern approach from the point of view of homological algebra, and covers themes such as finite generation theorems, the cohomology of wreath products, the norm map, and variety theory. Prerequisites comprise a familiarity with modern algebra comparable to that offered in introductory graduate courses, although otherwise the book is self-contained. As a result, it will be useful for those already engaged or commencing research in this area of mathematics by providing an up-to-date survey of important techniques and their applications to finite group theory.