References
[AW] Adams, J.F., Wilkerson, C.W.: FiniteH-spaces and algebras over the Steenrod algebra. Ann. Math.111, 95–143 (1980)
[BZ1] Broto, C., Zarati, S.: Nil localization of unstable algebras over the Steenrod algebra. Math. Z.199, 525–537 (1988)
[BZ2] Broto, C., Zarati, S.: On sub-A *p -algebras ofH * V. Preprint 1990
[Ca] Carlsson, G.: Equivariant stable homotopy and Segal's Burnside ring conjecture. Ann. Math.120, 189–224 (1984)
[Co] Cohen, J.: Stable homotopy. Lect. Notes Math. vol. 165. Berlin Heidelberg New York: Springer 1970
[CR] Curtis, C., Reiner, I.: Representation theory of finite groups and associative algebras. New York: Wiley 1962
[DW] Dwyer, W.G., Wilkerson, C.W.: Smith theory and the functorT. Comment. Math. Helv.66, 1–17 (1991)
[F] Freyd, P.: Stable homotopy II. Proc. Symp. Pure Math.XVII, 161–183 (1970)
[Ga] Gabriel, P.: Des catégories abéliennes. Bull. Soc. Math. Fr.90, 323–448 (1962)
[GSZ] Goerss, P., Smith, L., Zarati, S.: Sur lesA-algèbres instables. Algebraic topology, Barcelona 1986 (Lect. Notes Math. vol. 1298) Berlin Heidelberg New York: Springer 1987
[HLS1] Henn, H.-W., Lannes, J., Schwartz, L.: Analytic functors, unstable algebras and cohomology of classifying spaces, Proceedings of the International Conference on Algebraic Topology, Evanston 1988. Contemp. Math.96, 197–220 (1989)
[HLS2] Henn, H.-W., Lànnes, J., Schwartz, L.: The categories of unstable modules and unstable algebras over the Steenrod algebra modulo nilpotent objects. To appear in Am. J. Math.
[HLS3] Henn, H.-W., Lannes, J., Schwartz, L.: Refining Quillen's description of modp cohomology of classifying spaces. In preparation
[LSt] Landweber, P.S., Stong, R.E.: The depth of rings of invariants over finite fields. Number theory, New York 1984–85. (Lect. Notes in Math. vol. 1240) Berlin Heidelberg New York: Springer 1987
[Lg] Lang, S.: Algebra. Reading, Mass: Addison-Wesley 1965
[Ln1] Lannes, J.: Sur la cohomologie modulop desp-groupes abéliens élémentaires, Proceedings Durham Symposium on Homotopy Theory 1985, LMS117. Cambridge: Cambr. Univ. Press 1987
[Ln2] Lannes, J.: Sur les espaces fonctionels dont la source est le classifant d'unp-groupe abélien élémentaire. Preprint 1990
[LSc] Lannes, J., Schwartz, L.: Sur la structure desA-modules instables injectifs. Topology28, 153–169 (1989)
[LZ1] Lannes, J., Zarati, S.: Sur les foncteur dérivés de la destabilisation, avec un appendice de J. Lannes. Math. Z.194, 25–59 (1987)
[LZ2] Lannes, J., Zarati, S.: Sur lesU-injectifs. Ann. Sci. Ec. Norm. Supér. IV Sér.19, 303–333 (1986)
[LMM] Lewis, G., May, P., McClure, J.: ClassifyingG-spaces and the Segal-conjecture, Current trends in algebraic topology. Can. Math. Soc. Conf. Proc.2, 165–179 (1982)
[M] Margolis, H.R.: Spectra and the Steenrod algebra vol. 29. Amsterdam: North-Holland 1983
[S1] Schwartz, L.: La filtration nilpotente de la catégorieU et la cohomologie des espaces de lacets Algebraic topology rational homology, Louvain 1986. (Lect. Notes Math. vol. 1318) Berlin Heidelberg New York: Springer 1988
[S2] Schwartz, L.: Notes of a course given at the University of Chicago. Lect. Notes (in preparation)
[Z] Zarati, S.: Quelques propriétés du foncteur Hom U p (H*V). Algebraic topology Göttingen 1984. (Lect. Notes Math. vol. 1172) Berlin Heidelberg New York: Springer 1985
Author information
Authors and Affiliations
Additional information
Dedicated to D. Puppe on the occasion of his 60th birthday
Rights and permissions
About this article
Cite this article
Henn, HW. Finiteness properties of injective resolutions of certain unstable modules over the Steenrod algebra and applications. Math. Ann. 291, 191–203 (1991). https://doi.org/10.1007/BF01445199
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01445199