The Cohomology of Groups

ISBN-13: 9780198535805 / Angielski / Twarda / 1991 / 176 str.

Leonard Evens

Opis

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.

Recenzje

'Some important results are included and briefly hinted in exercises concluding each chapter.' M. Golasinski, Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts

Spis treści

Preliminaries; Explicit resolutions; Products in cohomology; Relations to cohomology of subgroups; Cohomology of wreath products; The norm map; Spectral sequences; Varieties and complexity; Stratification; Some related theorems; References; Table of notation; Index.