Geschäftskunden Kundenprogramme

KI-Beratung Beta
Vor Ort
Merkzettel Warenkorb
Produktbild: Cohomology of Groups
Band 87

Cohomology of Groups

Aus der Reihe Graduate Texts in Mathematics

Fr. 83.90

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

29.04.2012

Verlag

Springer Us

Seitenzahl

309

Maße (L/B/H)

22.9/15.2/1.7 cm

Gewicht

476 g

Auflage

1982

Sprache

Englisch

ISBN

978-1-4684-9329-0

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

29.04.2012

Verlag

Springer Us

Seitenzahl

309

Maße (L/B/H)

22.9/15.2/1.7 cm

Gewicht

476 g

Auflage

1982

Sprache

Englisch

ISBN

978-1-4684-9329-0

Herstelleradresse

Springer US, New York, N.Y.
Heidelberger Platz 3
14197 Berlin
Deutschland
Email: sdc-bookservice@springer.com
Fax: +49 6221 3454229

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)
  • Produktbild: Cohomology of Groups
  • I Some Homological Algebra.- 0. Review of Chain Complexes.- 1. Free Resolutions.- 2. Group Rings.- 3. G-Modules.- 4. Resolutions of Z Over ZG via Topology.- 5. The Standard Resolution.- 6. Periodic Resolutions via Free Actions on Spheres.- 7. Uniqueness of Resolutions.- 8. Projective Modules.- Appendix. Review of Regular Coverings.- II The Homology of a Group.- 1. Generalities.- 2. Co-invariants.- 3. The Definition of H*G.- 4. Topological Interpretation.- 5. Hopfs Theorems.- 6. Functoriality.- 7. The Homology of Amalgamated Free Products.- Appendix. Trees and Amalgamations.- III Homology and Cohomology with Coefficients.- 0. Preliminaries on ?G and HomG.- 1. Definition of H*(G, M) and H*(G, M).- 2. Tor and Ext.- 3. Extension and Co-extension of Scalars.- 4. Injective Modules.- 5. Induced and Co-induced Modules.- 6. H* and H* as Functors of the Coefficient Module.- 7. Dimension Shifting.- 8. H* and H* as Functors of Two Variables.- 9. The Transfer Map.- 10. Applications of the Transfer.- IV Low Dimensional Cohomology and Group Extensions.- 1. Introduction.- 2. Split Extensions.- 3. The Classification of Extensions with Abelian Kernel.- 4. Application: p-Groups with a Cyclic Subgroup of Index p.- 5. Crossed Modules and H3 (Sketch).- 6. Extensions With Non-Abelian Kernel (Sketch).- V Products.- 1. The Tensor Product of Resolutions.- 2. Cross-products.- 3. Cup and Cap Products.- 4. Composition Products.- 5. The Pontryagin Product.- 6. Application: Calculation of the Homology of an Abelian Group.- VI Cohomology Theory of Finite Groups.- 1. Introduction.- 2. Relative Homological Algebra.- 3. Complete Resolutions.- 4. Definition of ?*.- 5. Properties of ?*.- 6. Composition Products.- 7. A Duality Theorem.- 8. Cohomologically Trivial Modules.- 9. Groups with Periodic Cohomology.- VII Equivariant Homology and Spectral Sequences.- 1. Introduction.- 2. The Spectral Sequence of a Filtered Complex.- 3. Double Complexes.- 4. Example: The Homology of a Union.- 5. Homology of a Group with Coefficients in a Chain Complex.- 6. Example: The Hochschild-Serre Spectral Sequence.- 7. Equivariant Homology.- 8. Computation of d1.- 9. Example: Amalgamations.- 10. Equivariant Tate CohoMology.- VIII Finiteness Conditions.- 1. Introduction.- 2. CohoMological Dimension.- 3. Serre’s Theorem.- 4. Resolutions of Finite Type.- 5. Groups of Type FPn.- 6. Groups of Type FF and FL.- 7. Topological Interpretation.- 8. Further Topological Results.- 9. Further Examples.- 10. Duality Groups.- 11. Virtual Notions.- IX Euler Characteristics.- 1. Ranks of Projective Modules: Introduction.- 2. The Hattori-Stallings Rank.- 3. Ranks Over Commutative Rings.- 4. Ranks Over Group Rings; Swan’s Theorem.- 5. Consequences of Swan’s Theorem.- 6. Euler Characteristics of Groups: The Torsion-Free Case.- 7. Extension to Groups with Torsion.- 8. Euler Characteristics and Number Theory.- 9. Integrality Properties of ?(?).- 10. Proof of Theorem 9.3; Finite Group Actions.- 11. The Fractional Part of ?(?).- 12. Acyclic Covers; Proof of Lemma 11.2.- 13. The p-Fractional Part of ?(?).- 14. A Formula for ??(A).- X Farrell Cohomology Theory.- 1. Introduction.- 2. Complete Resolutions.- 3. Definition and Properties of ?*(?)277.- 4. Equivariant Farrell Cohomology.- 5. Cohomologically Trivial Modules.- 6. Groups with Periodic Cohomology.- 7. ?*(?) and the Ordered Set of Finite Subgroups of ?.- References.- Notation Index.