Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-17T17:08:13.941Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  26 February 2010

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

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,

Type
Research Article
Copyright
Copyright © University College London 1975

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

1.Atiyah, M. F.. “Characters and cohomology of finite groups”, Publ. Math. I.H.E.S., 9 (1961), 2364.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), 129151.CrossRefGoogle Scholar
4.Thomas, C. B.. “Chern classes and groups with periodic cohomology”, Math. Annalen, 190 (1971), 323328.CrossRefGoogle Scholar
5.Thomas, C. B.. “Chern classes and metacyclicp-groups”, Mathematika, 18 (1971), 196200.CrossRefGoogle Scholar