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Farrell Cohomology Theory

  • Kenneth S. Brown
Part of the Graduate Texts in Mathematics book series (GTM, volume 87)

Abstract

Let Γ be a group such that vcd Γ < ∞. If Γ is torsion-free, then we know from Chapter VIII that cd Γ < ∞, so that Γ has no high-dimensional cohomology. In the general case, one might hope to “explain” the high-dimensional cohomology of Γ in terms of the torsion in Γ. (This is analogous to the situation of Chapter IX, where we tried to explain the non-integrality of χ(Γ) in terms of the torsion in Γ.)

Keywords

Complete Resolution Spectral Sequence Finite Index Invertible Element Ring Homomorphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • Kenneth S. Brown
    • 1
  1. 1.Department of MathematicsCornell UniversityIthacaUSA

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