Cohomology of Finite Groups

Inbunden, Engelska, 2003

Av Alejandro Adem, R. James Milgram

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The cohomology of groups has been the stage for significant interaction between algebra and topology, leading to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups.The 2nd edition contains many more cohomology calculations for the sporadic groups, obtained by the authors and their collaborators over the past decade. Chapter III on group cohomology and invariant theory has been revised and expanded. New references arising from recent developments in the field have been added, and the index substantially enlarged.

Produktinformation

Utgivningsdatum2003-12-02
Mått155 x 235 x 23 mm
Vikt676 g
FormatInbunden
SpråkEngelska
SerieGrundlehren der mathematischen Wissenschaften
Antal sidor324
Upplaga2
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540202837

Tillhör följande kategorier

Grupper och gruppteori inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

I. Group Extensions, Simple Algebras and Cohomology.- II. Classifying Spaces and Group Cohomology.- III. Invariants and Cohomology of Groups.- IV. Spectral Sequences and Detection Theorems.- V. G-Complexes and Equivariant Cohomology.- VI. The Cohomology of the Symmetric Groups.- VII. Finite Groups of Lie Type.- VIII. Cohomology of Sporadic Simple Groups.- IX. The Plus Construction and Applications.- X. The Schur Subgroup of the Brauer Group.- References.

From the reviews of the second edition: "This book is very different from other treatments since it emphasizes the computational aspects of the cohomology of finite groups with coefficients in a field. ... I say merely that each mathematician interested in algebra and topology should have a copy of this book on their shelf and make sure that their librarian gets one as well. Overall I thoroughly recommend this book and believe that it will be a useful book for introducing students to cohomological methods for groups." (Manuel Ladra Gonzalez, Zentralblatt MATH, Vol. 1061 (12), 2005)