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Chern classes and metacyclic p-groups

Published online by Cambridge University Press:  26 February 2010

CB Thomas
Affiliation:
Department of Mathematics, State University of New York at Buffalo, Buffalo, N.Y., U.S.A.
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Extract

If G is a finite group with classifying space BG and complex representation ring R(G), one defines the topological filtration on R(G) by means of the natural map Ψ: R(G) → KU(BG).

Type
Research Article
Copyright
Copyright © University College London 1971

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References

1Atiyah, M., “Characters and cohomology of finite groups ”, I.H.E.S. Publ. Math., 9 (1961), 2364.CrossRefGoogle Scholar
2Weiss, E., “Kohomologiering und Darstellungsring endlicher Gruppen ”, Bonner Math. Schriften, 36 (1969).Google Scholar
3Lewis, G., “The integral cohomology rings of groups of order p3 ”, Trans. Amer. Math. Soc., 132 (1968), 501529.Google Scholar
4Ritter, J., “Zur Kohomologie von Gruppen mit Abelschen Sylowuntergruppen ”, Manuscripta Math., 3 (1970), 6995.CrossRefGoogle Scholar
5Wall, C. T. C., “Resolutions for extensions of groups ”, Proc. Cambridge Philos. Soc., 57 (1961), 251255.CrossRefGoogle Scholar
6Wolf, J., Spaces of constant curvature (McGraw Hill, 1967).Google Scholar