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Quillen stratification for modules

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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)

    Google Scholar 

  3. Alperin, J.L., Evens, L.: Varieties and elementary abelian groups. (to appear)

  4. Avrunin, G.S.: Annihilators of cohomology modules. J. Algebra69, 150–154 (1981)

    Google Scholar 

  5. Avrunin, G.S., Scott, L.L.: A Quillen stratification theorem for modules. Bull. Amer. Math. Soc.6, 75–78 (1982)

    Google Scholar 

  6. Carlson, J.F.: Complexity and Krull dimension, Proceeding of the International Congress on Representation of Algebras, Ill, 1981

  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

    Google Scholar 

  8. Carlson, J.F.: Dimensions of modules and their restriction over modular group algebras. J. Algebra69, 95–104 (1981)

    Google Scholar 

  9. Carlson, J.F.: The varieties and the cohomology ring of a module. (to appear)

  10. Chouinard, L.G.: Projectivity and relative projectivity over group rings. J. Pure Appl. Algebra7, 287–302 (1976)

    Google Scholar 

  11. Dade, E.C.: Endo-permutation module overp-groups, II. Ann. of Math.108, 317–346 (1978)

    Google Scholar 

  12. Demazure, M., Gabriel, P.: Groups algébriques, vol. I. Amsterdam: North Holland 1970.

    Google Scholar 

  13. Evens, L.: The cohomology ring of a finite group. Trans. Amer. Math. Soc.101, 224–239 (1961)

    Google Scholar 

  14. Green, J.A.: A transfer theorem for modular representations. J. Algebra1, 73–84 (1964)

    Google Scholar 

  15. Green, J.A.: Axiomatic representation theory for finite groups. J. Pure Appl. Algebra1, 41–77 (1971)

    Google Scholar 

  16. Grothendieck, A.: Foncteurs fibres, supports étude cohomologique des morphismes finis, in SGA 4. Lecture Notes in Mathematics, vol. 270. Berlin: Springer 1972

    Google Scholar 

  17. Hartshorne, R.: Algebraic geometry. New York: Springer 1977

    Google Scholar 

  18. Kroll, O.: Complexity and elementary abelianp-groups. Ph.D. thesis, University of Chicago 1980

  19. MacLane, S.: Homology, Berlin: Springer 1963

    Google Scholar 

  20. Quillen, D.: A cohomological criterion forp-nilpotence. J. Pure Appl. Algebra1, 361–372 (1971)

    Google Scholar 

  21. Quillen, D.: The spectrum of an equivariant cohomology ring, I. Ann. of Math.94, 549–572 (1971)

    Google Scholar 

  22. Quillen, D.: The spectrum of an equivariant cohomology ring, II. Ann. of Math.94, 573–602 (1971)

    Google Scholar 

  23. Quillen, D., Venkov, B.B.: Cohomology of finite groups and elementary abelian subgroups. Topology11, 317–318 (1972)

    Google Scholar 

  24. Serre, JP: Sur la dimension cohomologique des groupes profinis. Topology3, 413–420 (1965)

    Google Scholar 

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Supported in part by the National Science Foundation

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Avrunin, G.S., Scott, L.L. Quillen stratification for modules. Invent Math 66, 277–286 (1982). https://doi.org/10.1007/BF01389395

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