A remark on the Conway-Norton conjecture about the “Monster” simple group
- 1 September 1980
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 77 (9) , 5048-5049
- https://doi.org/10.1073/pnas.77.9.5048
Abstract
By the method of second quantization we construct an infinite-dimensional graded module for the centralizer of an involution of the Fischer-Griess “Monster” simple group F 1 so that the Thompson series are those conjectured by Conway and Norton. As a consequence we obtain some identities and congruences relating modular functions j and η. We are hopeful that this representation can be extended to the whole group F 1 , proving all the conjectures by Conway and Norton in their recent paper [Conway, J. H. & Norton, S. P. (1979) Bull. London Math. Soc. 11, 308-339].Keywords
This publication has 0 references indexed in Scilit: