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Cohomology Rings of Finite Groups : With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 /

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This text offers comprehensive coverage of group cohomology, from introductory material through the most recent developments in the field. The primary motivation for this book is the interaction of group cohomology with representation theory, especially the geometry of support varieties over cohomol...

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Bibliographic Details
Main Author: Carlson, J. F.
Corporate Author: SpringerLink (Online service)
Other Authors: Townsley, Lisa, Valeri-Elizondo, Luis, Zhang, Mucheng
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands, 2003.
Series:Algebras and applications ; 3.
Subjects:
Mathematics.
Electronic data processing.
Algebra.
Geometry.
Algebraic topology.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Acknowledgements
  • 1: Homological Algebra
  • 2: Group Algebras
  • 3: Projective Resolutions
  • 4: Cohomology Products
  • 5: Spectral Sequences
  • 6: Norms and the Cohomology of Wreath Products
  • 7: Steenrod Operations
  • 8: Varieties and Elementary Abelian Subgroups
  • 9: Cohomology Rings of Modules
  • 10: Complexity and Multiple Complexes
  • 11: Duality Complexes
  • 12: Transfers, Depth and Detection
  • 13: Subgroup Complexes
  • 14: Computer Calculations and Completion Tests.-Appendices
  • References
  • Index.