This is a preview of subscription content, log in via an institution to check access.
References
C. Broto and S. Zarati, On sub-A * p -algebras ofH * V. Lect. Notes Math.1509, Springer 1992, 35–49
G. Carlsson, G.B. Segal's Burnside ring conjecture for (ℤ/2)k. Topology22 (1983), 83–103
J. Duflot, Smooth toral actions, Topology22 (1983), 253–265
J. Duflot, Localization of equivariant cohomology rings. Trans. Am. Math. Soc.284 (1984), 91–105
W. Dwyer, C. Wilkerson, Spaces of nullhomotopic maps. Astérisque191 (1990), 97–108
W. Dwyer, C. Wilkerson, A cohomology decomposition theorem. Topology31 (1992), 433–443
W. Dwyer, C. Wilkerson, Smith theory and the functorT. Comment. Math. Helv.66 (1991), 1–17
P. Gabriel, Des catégories abéliennes. Bull. Soc. Math. Fr.90 (1962), 323–448
J. Gunawardena, J. Lannes and S. Zarati, Cohomologie des groupes symétriques et application de Quillen, Advances in Homotopy Theory, London Math. Soc., Lect. Note Ser.139, Cambridge University Press (1989) 61–68
J. Harer, The virtual cohomological dimension of the mapping class group of an orientable surface. Invent. Math.84 (1986), 157–176
H.-W. Henn, Finiteness Properties of injective resolutions of certain unstable modules over the Steenrod algebra and applications. Math. Ann.291 (1991), 191–203
H.-W. Henn, in preparation
H.-W. Henn, J. Lannes, L. Schwartz, Analytic functors, unstable algebras and cohomology of classifying spaces. Contemp. Math.96 (1989), 197–220
H.-W. Henn, J. Lannes, L. Schwartz, The categories of unstable modules and unstable algebras modulo nilpotent objects. Am. J. Math.115 (1993), 1053–1106
H.-W. Henn, S. Priddy,p-nilpotence, classifying space indecomposability and other properties of almost all finite groups. (to appear) Comment. Math. Helv.
S. Jackowski, J. McClure, Homotopy decomposition of classifying spaces via elementary abelian subgroups. Topology31 (1992), 113–132
J. Lannes, Sur la cohomologie modulop desp-groupes abéliens élémentaires. Proceedings of the Durham Symposium on Homotopy theory 1985. Cambridge University Press 1987
J. Lannes, Sur les espaces fonctionnels dont la source est le classifiant d'unp-groupe abélien élémentaire. Publ. Math., Inst. Hautes Etud. Sci.75 (1992), 135–244
J. Lannes, Cohomology of groups and function spaces. Preprint (1986)
J. Lannes, L. Schwartz, Sur la structure desA-modules instables injectifs. Topology28 (1989), 153–169
J. Lannes, S. Zarati, Sur lesU. Ann. Sic. Ec. Norm. Supér.19 (1986), 303–333
J. Lannes, S. Zarati, Sur les foncteurs dérivés de la destabilisation, Math. Z.194 (1987), 25–59
S. MacLane, Categories for the working mathematician. Grad. Texts Math.5, Springer 1971
J. Martino, Stable splittings and the Sylow 2-subgroups of SL3(F q ),q odd. Ph. D. Thesis Northwestern University 1988
J. Martino, S. Priddy, Classification ofBG for groups with dihedral or quaternion Sylow 2-subgroups, J. Pure. Appl. Algebra73 (1991), 13–21
J. Milgram, Unstable homotopy from the stable point of view. Lect. Notes Math.368, Springer 1974
H. Miller, The Sullivan Conjecture on maps from classifying spaces. Ann. Math.120 (1984), 39–87
S. Mitchell, S. Priddy, Symmetric product spectra and splittings of classifying spaces. Am. J. Math.106 (1984), 219–232
D. Quillen, The spectrum of an equivariant cohomology ring I, II. Ann. Math.94 (1971), 549–572, 573–602
D. Quillen, The Adams Conjecture. Topology10 (1971), 67–80
D. Quillen, On the cohomology andK-theory of the general linear groups over a finite field. Ann. Math.96 (1972), 552–586
D. Quillen, Higher AlgebraicK-theory I. In: “AlgebraicK-Theory I”. Lect. Notes Math.341, Springer 1973, 85–147
D. Rector, Noetherian cohomology rings and finite loop spaces with torsion. J. Pure Appl. Algebra32 (1984), 191–217
L. Schwartz, La filtration nilpotente de la catégorieU et la cohomologie des espaces de lacets, in “Algebraic Topology-Rational Homotopy”, Lect. Notes Math.1318, Springer 1988, 208–218
L. Schwartz, Unstable modules over the Steenrod algebra and Sullivan's fixed point set conjecture. University of Chicago Press (to appear)
J.P. Serre, Arithmetic groups. In: “Homological Group Theory”. London Math. Soc. Lect. Note Ser.36. Cambridge University Press (1979), 105–136
W.M. Singer, The construction of certain algebras over the Steenrod algebra. J. Pure Appl. Algebra11 (1977), 53–59
S. Zarati, Défaut de stabilité d'opération cohomologiques. Publ. Math., Orsay 78-07, 1978
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Henn, HW., Lannes, J. & Schwartz, L. Localizations of unstableA-modules and equivariant modp cohomology. Math. Ann. 301, 23–68 (1995). https://doi.org/10.1007/BF01446619
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01446619