Inventiones mathematicae

, Volume 79, Issue 3, pp 513–540 | Cite as

A simple construction for the Fischer-Griess monster group

  • J. H. Conway


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  1. 1.
    Griess, R.L.: The Friendly Giant. Invent. Math.69, 1–102 (1982)Google Scholar
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    Parker, R.A., Conway, J.H.: A remarkable Moufang loop, with an application to the Fischer group Fi24. In press (1985)Google Scholar
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    Conway, J.H.: Three lectures on exceptional groups. In: Finite Simple Groups. Higman, G., Powell, M. (eds.) London: Academic Press 1971Google Scholar
  4. 4.
    Tits, J.: Remarks on Griess's construction of the Monster, I, II, III, IV. PreprintGoogle Scholar
  5. 5.
    Frenkel, I., Lepowsky, J., Meurman, A.: A natural representation of the Fischer-Griess Monster with the modular functionj as character. Preprint, Mathematical Sciences Research Institute, Berkeley, California, 1984Google Scholar
  6. 6.
    Fischer, B., Livingstone, D., Thorne, M.: The characters of the Monster group. University of Birmingham, 1978Google Scholar
  7. 7.
    Griess, R.L.: The Monster and its Nonassociative Algebra. To appear in the proceedings of the conference: “Finite Groups: Coming of Age”, Montreal 1982Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • J. H. Conway
    • 1
  1. 1.Department of MathematicsCambridgeUK

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