Author D. Benson concentrates on the cohomology of groups, always with representations in view. He also gives an overview of the algebraic topology and K-theory associated with the cohomology of groups and discusses algebraic and topological proofs of the finite generation of the cohomology ring of a finite group. Students and researchers will appreciate this exposition on the essential results of modern representation theory.
Author D. Benson concentrates on the cohomology of groups, always with representations in view. He also gives an overview of the algebraic topology and K-theory associated with the cohomology of groups and discusses algebraic and topological proofs of the finite generation of the cohomology ring of a finite group. Students and researchers will appreciate this exposition on the essential results of modern representation theory.
Conventions and notations Introduction 1. Background material from algebraic topology 2. Cohomology of groups 3. Spectral sequences 4. The Evens norm map and the Steenrod algebra 5. Varieties for modules and multiple complexes 6. Group actions and the Steinberg module 7. Local coefficients on subgroup complexes Bibliography Index.
Conventions and notations Introduction 1. Background material from algebraic topology 2. Cohomology of groups 3. Spectral sequences 4. The Evens norm map and the Steenrod algebra 5. Varieties for modules and multiple complexes 6. Group actions and the Steinberg module 7. Local coefficients on subgroup complexes Bibliography Index.
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