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Koichiro Harada (The Ohio State University, Columbus, OH, USA)
“Moonshine” of Finite Groups
ISBN print 978-3-03719-090-6, ISBN online 978-3-03719-590-1DOI 10.4171/090
September 2010, 83 pages, softcover, 17 x 24 cm.
24.00 Euro
This is an almost verbatim reproduction of the author’s lecture notes written
in 1983–84 at the Ohio State University, Columbus, Ohio, USA. A substantial
update is given in the bibliography. Over the last 20 plus years, there has
been an 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 whose research was
stimulated by the moonshine of the finite groups. Still, we can ask the same
questions now just as we did some 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 lays 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 young readers
who wish to start learning about modular functions used in moonshine.
Keywords: Monster simple group, congruence groups, modular functions, eta function
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