×

Quillen stratification for modules. (English) Zbl 0489.20042


MSC:

20J05 Homological methods in group theory
20C05 Group rings of finite groups and their modules (group-theoretic aspects)

Citations:

Zbl 0247.57013
PDF BibTeX XML Cite
Full Text: DOI EuDML

References:

[1] Alperin, J.L.: letter to L.L. Scott, June 29, 1980
[2] Alperin, J.L., Evens, L.: Representations, resolutions, and Quillen’s dimension theorem. J. Pure Appl. Algebra22, 1-9 (1981) · Zbl 0469.20008
[3] Alperin, J.L., Evens, L.: Varieties and elementary abelian groups. (to appear) · Zbl 0499.20036
[4] Avrunin, G.S.: Annihilators of cohomology modules. J. Algebra69, 150-154 (1981) · Zbl 0489.20043
[5] Avrunin, G.S., Scott, L.L.: A Quillen stratification theorem for modules. Bull. Amer. Math. Soc.6, 75-78 (1982) · Zbl 0491.20040
[6] Carlson, J.F.: Complexity and Krull dimension, Proceeding of the International Congress on Representation of Algebras, Ill, 1981 · Zbl 0475.20040
[7] Carlson, J.F.: The complexity and varieties of modules. Proc. Oberwolfach Conf. on Integral Representation and Applications. Lecture Notes in Math., Vol. 882, pp. 415-429. Berlin-New York: Springer 1981
[8] Carlson, J.F.: Dimensions of modules and their restriction over modular group algebras. J. Algebra69, 95-104 (1981) · Zbl 0484.20005
[9] Carlson, J.F.: The varieties and the cohomology ring of a module. (to appear) · Zbl 0526.20040
[10] Chouinard, L.G.: Projectivity and relative projectivity over group rings. J. Pure Appl. Algebra7, 287-302 (1976) · Zbl 0327.20020
[11] Dade, E.C.: Endo-permutation module overp-groups, II. Ann. of Math.108, 317-346 (1978) · Zbl 0404.16003
[12] Demazure, M., Gabriel, P.: Groups algébriques, vol. I. Amsterdam: North Holland 1970.
[13] Evens, L.: The cohomology ring of a finite group. Trans. Amer. Math. Soc.101, 224-239 (1961) · Zbl 0104.25101
[14] Green, J.A.: A transfer theorem for modular representations. J. Algebra1, 73-84 (1964) · Zbl 0126.05502
[15] Green, J.A.: Axiomatic representation theory for finite groups. J. Pure Appl. Algebra1, 41-77 (1971) · Zbl 0249.20005
[16] Grothendieck, A.: Foncteurs fibres, supports étude cohomologique des morphismes finis, in SGA 4. Lecture Notes in Mathematics, vol. 270. Berlin: Springer 1972 · Zbl 0255.14010
[17] Hartshorne, R.: Algebraic geometry. New York: Springer 1977 · Zbl 0367.14001
[18] Kroll, O.: Complexity and elementary abelianp-groups. Ph.D. thesis, University of Chicago 1980
[19] MacLane, S.: Homology, Berlin: Springer 1963
[20] Quillen, D.: A cohomological criterion forp-nilpotence. J. Pure Appl. Algebra1, 361-372 (1971) · Zbl 0254.20038
[21] Quillen, D.: The spectrum of an equivariant cohomology ring, I. Ann. of Math.94, 549-572 (1971) · Zbl 0247.57013
[22] Quillen, D.: The spectrum of an equivariant cohomology ring, II. Ann. of Math.94, 573-602 (1971) · Zbl 0247.57013
[23] Quillen, D., Venkov, B.B.: Cohomology of finite groups and elementary abelian subgroups. Topology11, 317-318 (1972) · Zbl 0245.18010
[24] Serre, JP: Sur la dimension cohomologique des groupes profinis. Topology3, 413-420 (1965) · Zbl 0136.27402
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.