# "Moonshine" of Finite Groups

Share this page
*Koichiro Harada*

A publication of the European Mathematical Society

This is an almost verbatim reproduction of the author's lecture notes
written in 1983–84 at Ohio State University, Columbus. A
substantial update is given in the bibliography.

Over the last 20 plus years there has been energetic activity
in the field of finite simple group theory related to the monster
simple group. Most notably, influential works have been produced in
the theory of vertex operator algebras from research that was stimulated
by the moonshine of the finite groups. Still, we can ask the same
questions now that we did 30–40 years ago: What is the monster
simple group? Is it really related to the theory of the universe as it
was vaguely so envisioned? What lies behind the moonshine phenomena of
the monster group? It may appear that we have only scratched the
surface. These notes are primarily reproduced for the benefit of
readers who wish to start learning about modular functions used in
moonshine.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

#### Readership

Undergraduate and graduate students interested in modular functions used in moonshine.