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Low-dimensional Results

  • Kevin P. Knudson
Part of the Progress in Mathematics book series (PM, volume 193)

Abstract

The main focus of this chapter is the computation of low-dimensional homology groups of GL n . The results of the previous chapter show, for example, that H2(GL2(A),ℤ) ≅ H2(GL(A),ℤ) for A local with infinite residue field. Thus, one need only consider the former group. In this case, Suslin completely described the structure of H2(GL2(A),ℤ) —it surjects onto the second Milnor K-group K 2 M (A) and the kernel of this map is the image of H2(GL2(A),ℤ).

Keywords

Exact Sequence Spectral Sequence Hyperbolic Manifold Free Abelian Group Cell Decomposition 
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 Basel AG 2001

Authors and Affiliations

  • Kevin P. Knudson
    • 1
  1. 1.Department of MathematicsWayne State UniversityDetroitUSA

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