The computation of Stiefel-Whitney classes

  title={The computation of Stiefel-Whitney classes},
  author={Pierre Guillot},
  journal={arXiv: Algebraic Topology},
  • Pierre Guillot
  • Published 19 May 2009
  • Mathematics
  • arXiv: Algebraic Topology
The cohomology ring of a finite group, with coefficients in a finite field, can be computed by a machine, as Carlson has showed. Here "compute" means to find a presentation in terms of generators and relations, and involves only the underlying (graded) ring. We propose a method to determine some of the extra structure: namely, Stiefel-Whitney classes and Steenrod operations. The calculations are explicitly carried out for about one hundred groups (the results can be consulted on the Internet… 
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