Skip to main content
SpringerLink
Log in

The variety of a module

  • Conference paper
  • First Online:
Orders and their Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1142))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.L. Alperin, Periodicity in Groups, Ill. J. Math. 21(1977), 776–783.

    MathSciNet  MATH  Google Scholar 

  2. J.L. Alperin and L. Evens, Representations, resolutions, and Quillen’s dimension theorem, J. Pure and Appl. Algebra 22(1981), 1–9.

    Article  MathSciNet  MATH  Google Scholar 

  3. J.L. Alperin and L. Evens, Varieties and elementary abelian subgroups, J. Pure and Appl. Algebra 26(1982), 221–227.

    Article  MathSciNet  MATH  Google Scholar 

  4. G.S. Avrunin, Annihilators of cohomology modules, J. Algebra 69 (1981), 150–54.

    Article  MathSciNet  MATH  Google Scholar 

  5. G.S. Avrunin and L.L. Scott, Quillen’s stratification for modules, Invent. Math. 66(1982), 277–286.

    Article  MathSciNet  MATH  Google Scholar 

  6. D.J. Benson and J.F. Carlson, Nilpotent elements in the Green ring (to appear).

    Google Scholar 

  7. C. Bessenrodt and W. Willems, Relations between complexity and modular invariants and consequences for p-solvable groups, J. Algebra 86(1984), 445–456.

    Article  MathSciNet  MATH  Google Scholar 

  8. J.F. Carlson, The dimensions of periodic modules over modular group algebras, Illinois J. Math. 23(1979), 295–306.

    MathSciNet  MATH  Google Scholar 

  9. J.F. Carlson, The complexity and varieties of a module, Integral Representations and Applications, Lecture Notes in Mathematics No. 882, Springer, New York, 1981.

    Google Scholar 

  10. J.F. Carlson, The varieties and the cohomology ring of a module, J. Algebra 85(1983), 104–143.

    Article  MathSciNet  MATH  Google Scholar 

  11. J.F. Carlson, Compelxity and Krull dimension, Representations of Algebras, Lecture Notes in Mathematics No. 903, Springer, New York.

    Google Scholar 

  12. J.F. Carlson, The variety of an indecomposable module is connected, Invent. Math. 77(1984), 291–299.

    Article  MathSciNet  MATH  Google Scholar 

  13. J.F. Carlson, The cohomology ring of a module, J. Pure and Appl. Algebra (to appear).

    Google Scholar 

  14. J.F. Carlson, The cohomology of irreducible modules over SL(2,pn), Proc. London Math. Soc. (3), 47(1983), 480–492.

    Article  MathSciNet  MATH  Google Scholar 

  15. E.C. Dade, Endo-permutation modules over p-groups II, Ann. of Math. 108(1978), 317–346.

    Article  MathSciNet  MATH  Google Scholar 

  16. O. Kroll, Complexity and elementary abelian p-groups

    Google Scholar 

  17. D. Quillen, The spectrum of an equivariant cohomology ring, I, II, Ann. of Math. 94(1971), 549–602.

    Article  MathSciNet  MATH  Google Scholar 

  18. D. Quillen, A cohomological criterion for p-nilpotence, J. Pure and Appl. Algebra 1(1971), 361–372.

    Article  MathSciNet  MATH  Google Scholar 

  19. D. Quillen and B.B. Venkov, Cohomology of finite groups and elementary abelian subgroups, Topology 11(1972), 317–318.

    Article  MathSciNet  MATH  Google Scholar 

  20. R.G. Swan, Groups with no odd dimensional cohomology, J. Algebra 17(1971), 401–403.

    Article  MathSciNet  MATH  Google Scholar 

  21. W. Willems, Private communication.

    Google Scholar 

  22. J.R. Zemanek, Nilpotent elements in representation rings, J. Algebra 19(1971), 453–461.

    Article  MathSciNet  MATH  Google Scholar 

  23. J.R. Zemanek, Nilpotent elements in representation rings over fields of characteristics 2, J. Algebra 25(1973), 534–553.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Georgia, 30602, Athens, Georgia

    Jon F. Carlson

Authors
  1. Jon F. Carlson
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Irving Reiner Klaus W. Roggenkamp

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Carlson, J.F. (1985). The variety of a module. In: Reiner, I., Roggenkamp, K.W. (eds) Orders and their Applications. Lecture Notes in Mathematics, vol 1142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074793

Download citation

  • DOI: https://doi.org/10.1007/BFb0074793

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15674-1

  • Online ISBN: 978-3-540-39601-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation