Skip to main content
Log in

Decomposition numbers of the group

  • Published:
Algebra and Logic Aims and scope

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.

Literature cited

  1. G. D. James, The Representation Theory of the Symmetric Group, Addison-Wesley, Reading (1981).

    Google Scholar 

  2. C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York (1962).

    Google Scholar 

  3. D. J. Benson, "Brauer trees for 12M22," J. Algebra,95, No. 2, 398–408 (1985).

    Google Scholar 

  4. R. Carter, Finite Groups of Lie Type. Conjugacy Classes and Complex Characters, Wiley, Chichester (1985).

    Google Scholar 

  5. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, Atlas of Finite Groups, Clarendon, Oxford (1985).

    Google Scholar 

  6. L. Dornhoff, Group Representation Theory, Part B, Modular Representation Theory, Marcel Dekker, New York (1972).

    Google Scholar 

  7. D. M. Evans, "The 7-modular representations of Janko's smallest simple group," J. Algebra,96, No. 1, 35–44 (1985).

    Google Scholar 

  8. W. Feit, "Blocks with cyclic defect groups for some sporadic groups," Carleton-Ottawa Math. Lect. Note Ser., No. 2, 12/1–12/40 (1984).

  9. P. Fong, "On the decomposition numbers ofT 1 andR(q)," Symp. Math.,13, 415–422 (1972).

    Google Scholar 

  10. R. L. Greiss, "A remark about representations of .1," Commun. Algebra,13, No. 4, 835–844 (1985).

    Google Scholar 

  11. J. E. Humphreys, "Some computations of Cartan invariants for finite groups of Lie type," Commun. Pure Appl. Math.,26, No. 5/6, 745–755 (1973).

    Google Scholar 

  12. J. E. Humphreys, Ordinary and Modular Representations of Chevalley Groups, Lect. Notes Math., Vol. 528, Springer-Verlag, New York (1976).

    Google Scholar 

  13. J. F. Humphreys, "The projective characters of the Mathieu group M12 and of its automorphism group," Math. Proc. Cambridge Phil. Soc.,87, No. 3, 401–412 (1980).

    Google Scholar 

  14. J. F. Humphreys, "The projective characters of the Mathieu group M22," J. Algebra,76, No. 1, 1–24 (1982).

    Article  Google Scholar 

  15. J. F. Humphreys, "The modular characters of the Higman-Sims simple group," Proc. R. Soc. Edinburgh,A92, Nos. 3–4, 319–335 (1982).

    Google Scholar 

  16. G. D. James, "The modular characters of the Mathieu groups," J. Algebra,27, No. 1, 57–111 (1973).

    Article  Google Scholar 

  17. P. Landrock, "The nonprincipal 2-blocks of sporadic simple groups," Commun. Algebra,6, No. 18, 1865–1895 (1978).

    Google Scholar 

  18. L. DiMartino, "Simple linear groups all of whose involutions are 2-reflections," Boll. U. M. I., Ser. 5,15-B, No. 2, 509–526 (1978).

    Google Scholar 

  19. W. Meyer, W. Neutsch, and R. Parker, "The minimal 5-representation of Lyons sporadic group," Math. Ann.,272, No. 1, 29–39 (1985).

    Article  Google Scholar 

  20. R. Steinberg, Endomorphisms of Linear Algebraic Groups, Memoirs of the American Mathematical Society, Vol. 80, Providence (1968).

  21. J. Thackray, Modular Representations of Some Finite Groups, PhD Thesis, Cambridge University (1981).

  22. A. J. Woldar, "On the 5-decomposition matrix for McLaughlin's sporadic simple groups," Commun. Algebra,14, No. 2, 277–291 (1986).

    Google Scholar 

Download references

Authors

Additional information

Translated from Algebra i Logika, Vol. 27, No. 5, pp. 535–561, September–October, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kondrat'ev, A.S. Decomposition numbers of the group . Algebra and Logic 27, 333–349 (1988). https://doi.org/10.1007/BF01982273

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01982273

Keywords

Navigation