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Cohomology rings of finite groups: with an appendix, calculations of cohomology rings of groups of order dividing 64

Cohomology rings of finite groups: with an appendix, calculations of cohomology rings of groups of order dividing 64

Material type
단행본
Personal Author
Carlson, J. F.
Title Statement
Cohomology rings of finite groups: with an appendix, calculations of cohomology rings of groups of order dividing 64 / Jon F. Carlson ... [et al.].
Publication, Distribution, etc
Dordrecht ;   Boston :   Kluwer Academic Publishers ,   c2003.  
Physical Medium
xv, 776 p. ; 25 cm.
Series Statement
Algebras and applications ; v. 3
ISBN
1402015259 (alk. paper)
Bibliography, Etc. Note
Includes bibliographical references (p. 761-771) and index.
Subject Added Entry-Topical Term
Finite groups. Rings (Algebra) Homology theory.
000 00942pamuu22002654a 4500
001 000001103739
005 20040817142023
008 030915s2003 ne b 001 0 eng
010 ▼a 2003061946
020 ▼a 1402015259 (alk. paper)
040 ▼a DLC ▼c DLC ▼d DLC ▼d 244002
042 ▼a pcc
050 0 0 ▼a QA177 ▼b .C64 2003
082 0 0 ▼a 512/.23 ▼2 22
090 ▼a 512.23 ▼b C678
245 0 0 ▼a Cohomology rings of finite groups: ▼b with an appendix, calculations of cohomology rings of groups of order dividing 64 / ▼c Jon F. Carlson ... [et al.].
260 ▼a Dordrecht ; ▼a Boston : ▼b Kluwer Academic Publishers , ▼c c2003.
300 ▼a xv, 776 p. ; ▼c 25 cm.
440 0 ▼a Algebras and applications ; ▼v v. 3
504 ▼a Includes bibliographical references (p. 761-771) and index.
650 0 ▼a Finite groups.
650 0 ▼a Rings (Algebra)
650 0 ▼a Homology theory.
700 1 ▼a Carlson, J. F.

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Sejong Academic Information Center/Science & Technology/ Call Number 512.23 C678 Accession No. 151159367 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

Preface. Acknowledgements. 1: Homological Algebra. 1. Introduction. 2. Complexes and Sequences. 3. Projective and Injective Models. 4. Resolutions. 5. Ext. 6. Tensor Products and Tor. 2: Group Algebras. 1. Introduction. 2. Duality and Tensor Products. 3. Induction and Restriction. 4. Radicals, Socles and Projective Modules. 5. Degree Shifting. 6. The Stable Category. 7. Group Cohomology and Change of Coefficients. 3: Projective Resolutions. 1. Introduction. 2. Minimal Resolutions. 3. The Bar Resolution. 4. Applications to Low Dimensional Cohomology. 5. Restrictions, Inflations and Transfers. 4: Cohomology Products. 1. Introduction. 2. Yoneda Splices and Compositions of Chain Maps. 3. Products and Group Algebras. 4. Restriction, Inflation and Transfer. 5. Cohomology Ring Computations. 6. Shifted Subgroups and Restrictions. 7. Automorphisms and Cohomology. 5: Spectral Sequences. 1. Introduction. 2. The Spectral Sequence of a Biocomplex. 3. Products. 4. The Lyndon-Hochschild-Serre Spectral Sequence. 5. Extension Classes. 6. Minimal Resolutions and Convergence. 7. Exact Couples and the Bockstein Spectral Sequence. 6: Norms and the Cohomology of Wreath Products. 1. Introduction. 2. Wreath Products. 3. The Norm Map. 4. Examples and Applications. 5. Finite Generation of Cohomology. 7: Steenrod Operations. 1. Introduction. 2. The Steenrod Algebra and Modules. 3. The Steenrod Operations on Cohomology. 4. Cohomology and Modules Over the Steenrod Algebra. 5. The Cohomology of Extraspecial 2-Groups. 6. The Cohomology of Extraspecial p-Groups. 7. Serre's Theorem on the Vanishing of Bocksteins. 8: Varieties and Elementary Abelian Subgroups. 1. Introduction. 2. Filtrations on Modules. 3. Vanishing Products of Cohomology Elements. 4. Minimal Primes in Cohomology Rings. 5. The Stratification Theorem. 9: Cohomology Rings of Modules. 1. Introduction. 2. Generalized Bocksteins Over Elementary Abelian Groups. 3. Rank Varieties and Cohomology Rings Over Elementary Abelian Groups. 4. The Cohomological Support Variety of a Module. 5. Equating the Rank and Cohomological Support Varieties. 6. The Tensor Product Theorem. 7. Properties of the Cohomological Support Varieties. 10: Complexity and Multiple Complexes. 1. Introduction. 2. Notes on Dimension and Rates of Growth. 3. Complexity of Modules. 4. Varieties for Modules with Other Coefficient Rings. 5. Projective Resolutions as Multiple Complexes. 11: Duality Complexes. 1. Introduction. 2. Gaps in Cohomology. 3. Poincare Duality Complexes. 4. Differentials in the HSS. 5. Cohen Macaulay Cohomology Rings. 6. Further Considerations. 12: Transfers, Depth and Detection. 1. Introduction. 2. Notes


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