Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-26T11:49:45.811Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

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

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