Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-10T21:02:32.651Z Has data issue: false hasContentIssue false

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.
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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