Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Some remarks on the structure of Mackey functors

Authors: J. P. C. Greenlees and J. P. May
Journal: Proc. Amer. Math. Soc. 115 (1992), 237-243
MSC: Primary 55M35
MathSciNet review: 1076574
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: All Mackey functors over a finite group $ G$ are built up by short exact sequences from Mackey functors arising from modules over the integral group rings of appropriate subquotients WH of $ G$. The equivariant cohomology theories with coefficients in Mackey functors arising from WH-modules admit particularly simple descriptions.

References [Enhancements On Off] (What's this?)

  • [1] Andreas W. M. Dress, Contributions to the theory of induced representations, Algebraic 𝐾-theory, II: “Classical” algebraic 𝐾-theory and connections with arithmetic (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Springer, Berlin, 1973, pp. 183–240. Lecture Notes in Math., Vol. 342. MR 0384917
  • [2] J. P. C. Greenlees, M. J. Hopkins, and J. P. May, Completions of $ G$-spectra at ideals of the Burnside ring. I, preprint.
  • [3] L. G. Lewis, Jr., The theory of Green functors, mimeographed notes.
  • [4] L. G. Lewis Jr., J. P. May, M. Steinberger, and J. E. McClure, Equivariant stable homotopy theory, Lecture Notes in Mathematics, vol. 1213, Springer-Verlag, Berlin, 1986. With contributions by J. E. McClure. MR 866482
  • [5] J. Thévenaz and P. J. Webb, Simple Mackey functors, Proc. of the 1989 Bressanone Conf. on Group Theory (to appear).

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55M35

Retrieve articles in all journals with MSC: 55M35

Additional Information

Keywords: Mackey functor, coefficient system, Bredon cohomology, transfer
Article copyright: © Copyright 1992 American Mathematical Society

American Mathematical Society