Abstract
LetG be a finite group. By a rational coefficient system forG we mean a contravariant functor from the category of canonical orbits ofG andG-maps into the category of ℚ-vector spaces. In this paper we study injective objects in the category of rational coefficient systems forG.
Similar content being viewed by others
References
Bredon, G. E.: Equivariant Cohomology Theories. Lect. Notes Math. 34. Berlin-Heidelberg-New York: Springer. 1967.
Bucur, T., Deleanu, A.: Introduction to the Theory of Categories and Functors. London-New York-Sydney: J. Wiley. 1968.
Doman, R.: On the equivariant Hurewicz homomorphism. (To appear.)
Mitchell, B.: Theory of Categories. New York-London: Academic Press. 1965.
Rothenberg, M., Triantafillou, G. V.: An algebraic model forG-simple homotopy theory. Math. Ann.269, 301–331 (1984).
Triantafillou, G. V.: Equivariant minimal models. Trans. Amer. Math. Soc.274, 509–532 (1982).
Triantafillou, G. V.: Rationalization of HopfG-spaces. Math. Z.182, 485–500 (1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Doman, R. On injective rational coefficient systems. Monatshefte für Mathematik 106, 171–178 (1988). https://doi.org/10.1007/BF01318679
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01318679