nLab O'Nan moonshine




O’Nan moonshine concerns the existence of a graded infinite-dimensional module for the sporadic finite simple group of O’Nan, a so-called pariah group, for which the McKay-Thompson series are weight 3/2 mock modular forms. This form of moonshine relates congruences of McKay-Thompson series and the Selmer and Tate-Shafarevich groups of certain optimal elliptic curves.


For an informal introduction,

For a popular summary,

  • Erica Klarreich, Moonshine Link Discovered for Pariah Symmetries, Quanta

Last revised on May 21, 2019 at 08:53:25. See the history of this page for a list of all contributions to it.