Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-23T23:36:10.960Z Has data issue: false hasContentIssue false
  • English
  • Français

Mathieu group M24 and modular forms

Published online by Cambridge University Press:  22 January 2016

Masao Koike
Masao Koike*
Affiliation:
Department of Mathematics, Faculty of Sciences, Nagoya University, Chikusa-ku, Nagoya 454, Japan
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In [6], Mason reported some connections between sporadic simple group M24 and certain cusp forms which appear in the ‘denominator’ of Thompson series assigned to Fisher-Griess’s group F1. In this paper, we discuss the ‘numerator’ of these Thompson series.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 99 , September 1985 , pp. 147 - 157
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1985

References

[ 1 ] Conway, J. H. and Norton, S. P., Monstrous moonshine, Bull. London Math. Soc., 11 (1979), 308–330.Google Scholar
[ 2 ] Dummit, D., Kisilevsky, H. and Mckay, J., Multiplicative products of η-functions,.Google Scholar
[ 3 ] Koike, M., On Mckay’s conjecture, Nagoya Math. J., 95 (1984), 85–89.Google Scholar
[ 4 ] Koike, M., Moonshine for PSL2(F7 ), preprint.Google Scholar
[ 5 ] Kondo, T., The automorphism group of Leech lattice and elliptic modular function,. preprint.Google Scholar
[ 6 ] Mason, G., M24 and certain automorphic forms, preprint.Google Scholar
[ 7 ] Thompson, J. G., Finite groups and modular functions, Bull. London Math. Soc, 11 (1979), 347–351.CrossRefGoogle Scholar
[ 8 ] Todd, J. A., A representation of the Mathieu group M2 as a collineation group, Ann. Mat. Pura Appl., 71 (1966), 199–238.Google Scholar