Le monstre

Jacques Tits

Séminaire Bourbaki (1983-1984)

  • Volume: 26, page 105-122
  • ISSN: 0303-1179

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Tits, Jacques. "Le monstre." Séminaire Bourbaki 26 (1983-1984): 105-122. <http://eudml.org/doc/110020>.

@article{Tits1983-1984,
author = {Tits, Jacques},
journal = {Séminaire Bourbaki},
keywords = {sporadic simple Fischer-Griess group; automorphism group; 196883-dimensional -algebra; Monstrous Moonshine; sporadic simple subgroups},
language = {fre},
pages = {105-122},
publisher = {Société Mathématique de France},
title = {Le monstre},
url = {http://eudml.org/doc/110020},
volume = {26},
year = {1983-1984},
}

TY - JOUR
AU - Tits, Jacques
TI - Le monstre
JO - Séminaire Bourbaki
PY - 1983-1984
PB - Société Mathématique de France
VL - 26
SP - 105
EP - 122
LA - fre
KW - sporadic simple Fischer-Griess group; automorphism group; 196883-dimensional -algebra; Monstrous Moonshine; sporadic simple subgroups
UR - http://eudml.org/doc/110020
ER -

References

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  2. [Co 1] J.H. Conway - A group of order 8,315,553,613,086,720,000, Bull. Lond. Math. Soc.1(1969), 79-88. Zbl0186.32304MR248216
  3. [Co 2] J.H. Conway - The automorphism group of the 26-dimensional even unimodular Lorentzian Lattice, preprint (non daté). MR690711
  4. [CN] J.H. Conway and S.P. Norton - Monstrous Moonshine, Bull. Lond. Math. Soc.11 (1979), 308-339. Zbl0424.20010MR554399
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  7. [FK] I.B. Frenkel and V.G. Kac - Basic representations of affine Lie algebras and dual resonance models, Inventiones Math.62(1980), 23-66. Zbl0493.17010MR595581
  8. [FW 1] I.B. Frenkel, J. Lepowsky and A. Meurman - An E8-approach to F1 , à paraître dans les Proceedings of the 1982 Montreal conference on finite group theory. Zbl0603.20014
  9. [FLM 2] I.B. Frenkel, J. Lepowsky and A. Meurman - Communication personnelle, octobre 1983. 
  10. [Go] D. Gorenstein - Finite Simple Groups, An introduction to their classification, The Univ. Series in Math., Plenum PressNew York, 1982. Zbl0483.20008MR698782
  11. [Gr 1] R.L. Griess Jr. - The structure of the "Monster" simple group, Proc. Conf. Finite Groups, W. Scott and F. Gross eds., Academic Press, 1976, 113-118. Zbl0356.20021MR399248
  12. [Gr 2] R.L. Griess Jr. - The Friendly Giant, Inventiones Math.69(1982), 1-102. Zbl0498.20013MR671653
  13. [Ja] N. Jacobson - Structure and representations of Jordan algebras, Amer. Math. Soc. Colloquium Publ., vol. 39, 1968. Zbl0218.17010MR251099
  14. [Ka 1] V.G. Kac - An elucidation of "Infinite dimensional algebras ... and the very strange formula", E(1)8 and the cube root of the modular invariant j , Advances in Math.35(1980), 264-273. Zbl0431.17009MR563927
  15. [Ka 2] V.G. Kac - A remark on the Conway-Norton conjecture about the "Monster" simple group, Proc. Nat. Acad. Sci. U.S.A., 77(1980), 5048-5049. Zbl0447.20013MR587277
  16. [KKLW] V.G. Kac, D.A. Kazhdan, J. Lepowsky and R.L. Wilson - Realization of the basic representation of the Euclidean Lie algebras, Advances in Math.42(1981), 83-112. Zbl0476.17003MR633784
  17. [Le] J. Lepowsky - Euclidean Lie algebras and the modular function j , Proc. Symp. Pure Math.37(1980) (Santa Cruz Conference on Finite Groups), 567-570. Zbl0485.17007MR604635
  18. [Sm] S. Smith - Large extraspecial subgroups of widths 4 and 6 , Journal of Algebra58(1979), 251-281. Zbl0411.20009MR540638
  19. [Th] J.G. Thompson - Uniqueness of the Fischer-Griess Monster, Bull. Lond. Math. Soc.11(1979), 340-346. Zbl0424.20012MR554400
  20. [Ti 1] J. Tits - Résumé de cours, Annuaire du Collège de France1982-1983. 
  21. [Ti 2] J. Tits - Remarks on Griess' construction of the Griess-Fischer sporadic group, I, II, III, IV, lettres polycopiées, 1983. 

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