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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.
This volume investigates the theoretical framework and applications of the cohomology ring of a finite group through the lens of homological algebra. Leonard Evens provides a comprehensive survey of the field, synthesizing complex algebraic structures into a coherent reference for researchers. The text utilizes a modern approach to address the properties of finite groups, ensuring that the material remains accessible to those with a foundational background in graduate-level algebra.
What You Will Find
Experts recognize this work as a foundational text for those specializing in group theory and homological algebra. Readers frequently note the technical density of the prose, which is intended for advanced graduate students and active researchers in the field.
Page Count:
176
Publication Date:
1991-11-07
Publisher:
Clarendon Press
ISBN-10:
0198535805
ISBN-13:
9780198535805
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