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The computation of Stiefel-Whitney classes. (English) Zbl 1226.20046

Let \(G\) be a finite group and \(A\) be the mod.\(2\) Steenrod algebra. In this paper, the author describes, with the help of the computer, a method which gives information on the sub-\(A\)-algebra of \(H^*(BG;\mathbb Z/2\mathbb Z)\) generated by the Stiefel-Whitney classes.

MSC:

20J06 Cohomology of groups
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
55S10 Steenrod algebra
57R20 Characteristic classes and numbers in differential topology
14C15 (Equivariant) Chow groups and rings; motives

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References:

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