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A family of 2(p − 1)-sparse cohomology theories and some actions on

Published online by Cambridge University Press:  24 October 2008

Maurizio Brunetti
Maurizio Brunetti
Affiliation:
Dipartimento di Matematica e applicazioni, Università di Napoli, Complesso universitario Monte S. Angelo-Edifido T-via Cintia I-80126 Napoli, Italy
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Abstract

Let p be an odd prime, and h*( − ) a multiplicative mod p cohomology theory with a complex orientation satisfying the 2(p − 1)-sparseness condition. A formula concerning the formal group law for such h*( − ) is used to investigate the structure of h*(BG), G being a finite group whose p-Sylow subgroups are cyclic.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 116 , Issue 2 , September 1994 , pp. 223 - 228
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

REFERENCES

[A]Adams, J. F.. Stable homotopy and generalized homology (University of Chicago Press, 1974).Google Scholar
[HKR]Hopkins, M. J., Kuhn, N. J. and Ravenel, D. C.. Generalized Group Characters and Complex Oriented Cohomology Theories (to appear).Google Scholar
[R]Ravenel, D. C.. Complex cobordism and Stable homotopy groups of spheres. (Princ. Acad. Press, 1986).Google Scholar
[Th]Thomas, C. B.. Characteristic classes and the cohomology of finite groups (Cambridge University Press, 1986).Google Scholar
[TZ]Thomas, E. and Zahler, R. S.. Generalized higher order cohomology operations and stable homotopy groups of spheres. Adv. Math. 20 (1976), 289–328.CrossRefGoogle Scholar