Cohomology Rings of Finite Groups: With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64: Algebra and Applications, cartea 3
Autor Jon F. Carlson, L. Townsley, Luís Valero-Elizondo, Mucheng Zhangen Limba Engleză Hardback – 31 oct 2003
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Specificații
ISBN-13: 9781402015250
ISBN-10: 1402015259
Pagini: 776
Ilustrații: XVI, 776 p.
Dimensiuni: 155 x 235 x 51 mm
Greutate: 1.25 kg
Ediția:2003
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Algebra and Applications
Locul publicării:Dordrecht, Netherlands
ISBN-10: 1402015259
Pagini: 776
Ilustrații: XVI, 776 p.
Dimensiuni: 155 x 235 x 51 mm
Greutate: 1.25 kg
Ediția:2003
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Algebra and Applications
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
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.
Recenzii
From the reviews:
"The cohomology of groups was developed to be … a powerful tool in the study of group representations. … Some other books concerning the cohomology of finite groups have appeared, but they are at least ten years old, and the computational tools that have been developed since then, make this book to be really valuable for both professionals and students. … This book is almost self-contained and it is very useful … for all of those that are using the cohomology instruments in their work." (Viorel Mihai Gontineac, Zentralblatt MATH, Vol. 1056 (7), 2005)
"The cohomology of groups was developed to be … a powerful tool in the study of group representations. … Some other books concerning the cohomology of finite groups have appeared, but they are at least ten years old, and the computational tools that have been developed since then, make this book to be really valuable for both professionals and students. … This book is almost self-contained and it is very useful … for all of those that are using the cohomology instruments in their work." (Viorel Mihai Gontineac, Zentralblatt MATH, Vol. 1056 (7), 2005)