Skip to main content
SpringerLink
Log in

The 5-modular characters of the McLaughlin group and its covering group

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. D. J. Benson andJ. F. Carlson, Nilpotent elements in the Green ring,J. Algebra,104 (1986), 329–350

    Article  MATH  MathSciNet  Google Scholar 

  2. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker andR. A. Wilson, Atlas of Finite Groups, Oxford University Press, London, 1974

    Google Scholar 

  3. W. Feit, The Representation Theory of Finite Groups, North-Holland Publishing Company, New York, 1982

    MATH  Google Scholar 

  4. G. Hiss andK. Lux, Brauer Trees of Sporadic Groups, Oxford University Press, Oxford, 1989

    MATH  Google Scholar 

  5. P. Landrock, Finite Group Algebras and their Modules, London Mathematical Society Lecture Note Series Vol. 84, Cambridge University Press, Cambridge, 1983

    MATH  Google Scholar 

  6. K. Lux and H. Pahlings, Computational aspects of representation theory of finite groups,in: Representation Theory of Finite Groups and Finite-Dimensional Algebras, Birkhäuser, 1991, pp. 37–64

  7. J. Neubüser, H. Pahlings and W. Plesken, CAS; Design and use of a system for the handling of characters of finite groups,in: Computational group theory, Academic Press, 1984, pp. 195–247

  8. A. J. E. Ryba, Computer condensation of modular representations,J. Symbolic Computation,9 (1990), 591–600.

    Article  MathSciNet  MATH  Google Scholar 

  9. A. J. Woldar, On the 5-decomposition matrix for McLaughlin's sporadic simple group,Comm. Algebra,14 (1986), 277–291

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. IWR, Universität Heidelberg, Im Neuenheimer Feld 368, 6900, Heidelberg, Germany

    Gerhard Hiss

  2. Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 5100, Aachen, Germany

    Klaus Lux

  3. Perihelion Software Ltd., BA4 4PP, Shepton Mallet, England

    Richard Parker

Authors
  1. Gerhard Hiss
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Klaus Lux
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Richard Parker
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hiss, G., Lux, K. & Parker, R. The 5-modular characters of the McLaughlin group and its covering group. Manuscripta Math 73, 91–114 (1991). https://doi.org/10.1007/BF02567631

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567631

Keywords

Search

Navigation