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On a system of elliptic modular forms attached to the large Mathieu group

Published online by Cambridge University Press:  22 January 2016

Geoffrey Mason
Geoffrey Mason*
Affiliation:
Department of Mathematics, U. C. Santa Cruz, Santa Cruz, CA 95064, U.S.A.
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This paper is a continuation of two previous papers of the author. In the first [4] we discussed a Thompson series associated with the group M24 in which each of the modular forms ηg(τ) attached to elements g ∈ M24 are primitive cusp-forms.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 118 , June 1990 , pp. 177 - 193
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

[1] Conway, J., Three lectures on exceptional groups, in Finite Simple Groups, Powell-Higman, , eds., Academic Press, London, 1971.Google Scholar
[2] Conway, J. et al., Atlas of simple groups, C.U.P., 1983.Google Scholar
[3] Koike, M., On McKay’s Conjecture, Nagoya Math. J., 95 (1984), 85–89.Google Scholar
[4] Mason, G., M24 and certain automorphic forms, in Contemp. Math. vol. 45, A.M.S., Providence, R.I. (1985), 223–244.Google Scholar
[5] Mason, G., Finite groups and Hecke operators, Math. Ann., 283 (1989), 381–409.Google Scholar
[6] Mason, G., Elliptic system and the eta-function, to appear in Notas d. 1. Soc. d. Mate mática d. Chilé, 1990.Google Scholar