LEADER 02249nam 22004095a 450 001 9910151931503321 005 20101003234500.0 010 $a3-03719-590-8 024 70$a10.4171/090 035 $a(CKB)3710000000953860 035 $a(CH-001817-3)121-101003 035 $a(PPN)178155829 035 $a(EXLCZ)993710000000953860 100 $a20101003j20100929 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$a"Moonshine" of Finite Groups$b[electronic resource] /$fKoichiro Harada 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2010 215 $a1 online resource (83 pages) 225 0 $aEMS Series of Lectures in Mathematics (ELM) ;$x2523-5176 330 $aThis 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. 606 $aGroups & group theory$2bicssc 606 $aGroup theory and generalizations$2msc 606 $aNumber theory$2msc 615 07$aGroups & group theory 615 07$aGroup theory and generalizations 615 07$aNumber theory 686 $a20-xx$a11-xx$2msc 700 $aHarada$b Koichiro$01071020 801 0$bch0018173 906 $aBOOK 912 $a9910151931503321 996 $a"Moonshine" of Finite Groups$92565662 997 $aUNINA