Monstrous moonshine

Bulletin of the London Mathematical Society

Volumn 11, Issue 3, 1979, Pages 308-339

  Conway, J H ^a   Norton, S P ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84959771835     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: 10.1112/blms/11.3.308     Document Type: Article

References (19)

1. B. J. Birch and W. Kuyk, ed. Modular Functions of One Variable IV, Proc. Intern. Summer School (Antwerp, 1972, Springer).
2. J. H. Conway, R. T. Curtis, S. P. Norton and R. A. Parker, An Atlas of Finite Groups, in preparation.
3. A. O. L. Atkin and J. Lehner, "Hecke Operators on r0(m), " Math. Ann., 185 (1970), 134-160.
4. B. J. Birch, "Some calculations of Modular Relations, " in Modular Functions of One Variable, I, (Antwerp, 1973, Springer).
5. J. H. Conway, "Three Lectures on Exceptional Groups" (Chapter VII of Finite Simple Groups, edited by M. B. Powell and G. Higman).
6. B. Fischer, D. Livingstone, M. P. Thorne, The characters of the "Monster" simple group (Birmingham, 1978).
7. J. S. Frame, "Computation of the characters of the Higman-Sims group and its automorphism group, " J. Algebra, 20 (2) (1972), 320-349.
8. R. Fricke, Die Elliptische Funktionen und Ihre Anwendungen, 2-ter Teil (Teubner, Leipzig, 1922).
9. H. Helling, "On the commensurability class of rational modular group, " J. London Math. Soc., (2) 2(1970), 67-72.
10. V. G. Kac, "Infinite dimensional algebras, Dedekind's η-function, Classical Möbius function, and the Very Strange Formula, " Advances in Mathematics, 30 (2) (1978), 85-136.
11. P. G. Kluit, "On the Normaliser of r0(w), " in Modular Functions of One Variable, V (Bonn, 1976, Springer), 239-246.
12. P. G. Kluit, Doctoral Dissertation, Antwerp, 1979.
13. J. Leech, "More notes on Sphere Packings, " Can. J. Math., 19 (1967), 251-267.
14. I. G. MacDonald, "Affine Root Systems and Dedekind's η-function, " Invent. Math., 15 (1972), 91-143.
15. A. P. Ogg, "Automorphismes des Courbes Modulaires, " Seminaire Delange-Pisot, Poitou, (7), 1974.
16. A. Pizer, "A note on a conjecture of Hecke, " Pacific J. Math., to appear
17. J. G. Thompson, "Some Numerology between the Fischer-Griess Monster and the Elliptic Modular Function, " Bull. London Math. Soc., 11 (1979), 352-353.
18. J. G. Thompson, "Uniqueness of the Fischer-Griess Monster, " Bull. London Math. Soc., 11 (1979).
19. H. S. Zuckerman, "The computation of the smaller coefficients of J(r), " Bull. Amer. Math. Soc., 45 (1939), 917-919.