Skip to main content
Log in

A local method in group cohomology

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. J. L. Alperin, R. Brauer andD. Gorenstein,Finite Groups with quasi dihedral and wreathed Sylow 2-subgroups, Trans. Amer. Math. Soc.151 (1970) 1–261.

    Article  MathSciNet  Google Scholar 

  2. K. S. Brown,Groups of virtually finite dimension, in: ed. C. T. C. Wall,Homological Group Theory, L.M.S. Lecture Notes no. 36, Cambridge Univ. Press 1979.

  3. K. S. Brown,Cohomology of Groups, Graduate Texts in Mathematics 87, Springer 1982.

  4. M. C. R. Butler andM. Shahzamanian,The construction of almost split sequences, III: modules over two classes of tame local algebras, Math. Annalen247, 111–122 (1980).

    Article  MathSciNet  Google Scholar 

  5. H. Cartan andS. Eilenberg,Homological algebra, Princeton Univ. Press 1956.

  6. G. R. Chapman,Generators and relations for the cohomology ring of, Janko's first group in the first twenty one dimensions, in: ed. C. M. Campbell and E. F. Robertson, Groups-St. Andrews 1981, L.M.S. Lecture Notes no. 71, Cambridge Univ. Press 1982.

  7. I. M. Chiswell,Exact sequences associated with a graph of groups, J. Pure Appl. Algebra8 (1976), 63–74.

    Article  MathSciNet  Google Scholar 

  8. S. B. Conlon,Decompositions induced from the Burnside algebra, J. Algebra10 (1968), 102–122.

    Article  MathSciNet  Google Scholar 

  9. L. E. Dickson,Linear groups with an exposition of the Galois field theory, Dover (New York) 1958.

    MATH  Google Scholar 

  10. Z. Fiedorowicz andS. Priddy,Homology of classical groups over finite fields and their associated infinite loop spaces, Lecture Notes in Math. 674, Springer 1978.

  11. D. Gluck,Idempotent formula for the Burnside algebra with applications to the p-subgroup simplicial complex, III. J. Math.25 (1981), 63–67.

    MathSciNet  Google Scholar 

  12. K. W. Gruenberg,Cohomological Topics in Group Theory, Lecture Notes in Math. 143, Springer (Berlin-Heidelberg-New York) 1970.

    MATH  Google Scholar 

  13. P. Hall,The Eulerian functions of a groups, Quart. J. Math. Oxford Series 7 (1936, 134–151.

    Google Scholar 

  14. D. F. Holt,On the local control of Schur multipliers, Quart. J. Math. Oxford Series 28 (1977), 495–508.

    MathSciNet  Google Scholar 

  15. Z. Janko,A new finite simple group with abelian Sylow 2-subgroups, J. Algebra3 (1966) 147–186.

    Article  MathSciNet  Google Scholar 

  16. M. Miyamoto,An affirmative answer to Glauberman's conjecture, Pacific J. Math.102 (1982), 89–105.

    MathSciNet  Google Scholar 

  17. R. Oliver,Fixed-point sets of group actions on finite acyclic complexes, Comment. Math. Helvetici50 (1975), 155–177.

    MathSciNet  Google Scholar 

  18. D. Quillen,Homotopy properties of the poset of nontrivial p-subgroups of a group, Advances in Math.28 (1978), 101–128.

    Article  MathSciNet  Google Scholar 

  19. D. Quillen,On the cohomology and K-theory of the general linear groups over a finite field, Ann. of Math. (2)96 (1972), 552–586.

    Article  MathSciNet  Google Scholar 

  20. K. W. Roggenkamp andL. Scott,Hecke actions on Picard groups, J. Pure Appl. Algebra26 (1982), 85–100.

    Article  MathSciNet  Google Scholar 

  21. J.-P. Serre Trees, Springer, (Berlin-Heidelberg-New York) 1982.

    Google Scholar 

  22. L. Solomon,The Burnside algebra of a finite group, J. Combinatorial Theory,2 (1967) 603–615.

    MathSciNet  Google Scholar 

  23. P. A. Smith,Fixed points of periodic transformations, Amer. Math. Soc. Coll. Pub.27 (1942), 350–373

    Google Scholar 

  24. T. A. Springer,Invariant Theory, Lecture, Notes in Math. 585, Springer (Berlin-Heidelberg-New York) 1977.

    MATH  Google Scholar 

  25. T. Yoshida,Idempotents of Burnside rings and Dress induction theorem, J. Algebra80 (1983) 90–105.

    Article  MathSciNet  Google Scholar 

  26. C. W. Curtis andI. Reiner,Methods in Representation Theory, vol. 1, J. Wiley and Sons 1981.

  27. T. Miyata,Note on direct summands of modules, J. Math. Kyoto Univ.7 (1967) 65–69.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Webb, P.J. A local method in group cohomology. Commentarii Mathematici Helvetici 62, 135–167 (1987). https://doi.org/10.1007/BF02564442

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02564442

Keywords

Navigation