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Displaying similar documents to “Characters and cohomology of finite groups”

The computation of Stiefel-Whitney classes

Pierre Guillot (2010)

Annales de l’institut Fourier

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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...

The connective K-theory of spinor groups.

Luísa Magalhâes (1990)

Publicacions Matemàtiques

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We study the properties of the connective K-theory with Z coefficients of the Lie groups Spin(n). This generalises some work by L. Hodgkin.