Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64
Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con nection with fini...
| Main Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2003, 2003
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| Edition: | 1st ed. 2003 |
| Series: | Algebra and Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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: Calculations of the Cohomology Rings of Groups of Order Dividing 64
- A— Notation and References
- B— Groups of Order 8
- C— Groups of Order 16
- D— Groups of Order 32
- E— Groups of Order 64
- F— Tables of Krull Dimension and Depth
- G— Tables of Hilbert / Poincaré Series
- References