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A model for the classifying space of an extra special p-group

Part of: Connections with homological algebra and category theory

Published online by Cambridge University Press:  26 February 2010

C. B. Thomas
C. B. Thomas
Affiliation:
University College, Gower Street, London WC1E 6BT
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Extract

In this paper we continue our investigation of the topological filtration on the complex representation ring R(G) of a finite group, see [4] and [5]. To recall the basic definitions from (1): let

map a k-dimensional representation ζ to the (flat) vector bundle over the classifying space BG associated to the universal G-bundle by the G-structure on Ck. Then, if denotes the (2k − l)-skeleton of BG,

MSC classification

Secondary: 20J05: Homological methods in group theory
Type
Research Article
Information
Mathematika , Volume 22 , Issue 2 , December 1975 , pp. 182 - 187
Copyright
Copyright © University College London 1975

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References

1.Atiyah, M. F.. “Characters and cohomology of finite groups”, Publ. Math. I.H.E.S., 9 (1961), 23–64.CrossRefGoogle Scholar
2.Huppert, B.. Endliche Gruppen I, Grundlehren der mathematisclien Wissenschaften 134 (Springer Verlag, Heidelberg, 1967).CrossRefGoogle Scholar
3.Segal, G. B.. “Equivariant K-theory”, Publ. Math. I.H.E.S., 34 (1968), 129“151.CrossRefGoogle Scholar
4.Thomas, C. B.. “Chern classes and groups with periodic cohomology”, Math. Annalen, 190 (1971), 323–328.CrossRefGoogle Scholar
5.Thomas, C. B.. “Chern classes and metacyclicp-groups”, Mathematika, 18 (1971), 196–200.CrossRefGoogle Scholar