Characteristic classes for permutation representations
Published online by Cambridge University Press: 24 October 2008
Extract
To a finite-dimensional real representation V of a finite group G there are associated its Stiefel–Whitney classes wk (V) (k = 1, 2, 3, …) in the cohomology groups Hk(G; ). ( is the field with two elements.) The total Stiefel-Whitney class
in the ring H*(G; is natural with respect to G in the obvious sense, and, in addition,
(a) exponential, i.e. w(V ⊕ W) = w(V).w(W),and
(b) stable, i.e. w(V) = 1 when F is a trivial representation.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 90 , Issue 2 , September 1981 , pp. 265 - 272
- Copyright
- Copyright © Cambridge Philosophical Society 1981
References
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