Monster group

monster group English Alternative forms en monster group Proper noun Monster group en algebra The largest sporadic group, of order 246 · 320 · 59 · 76 · 112 · 133 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71 (approximately 8 · 1053), denoted M or F1. en 1996 Michael P. Tuite Monstrous Moonshine and orbifolds K.T. Arasu; J.F. Dillon; K. Harada; S. Sehgal; R. Solomon Groups, Difference Sets, and the Monster: Proceedings of a Special Research Quarter w:Walter de Gruyter https://books.google.com.au/books?id=EPSmjV_BZSAC&pg=PA443&dq=%22monster+group%22&hl=en&sa=X&ved=0ahUKEwjs9NGXwtLbAhWxCDQIHbL6DBQQ6AEIYzAK#v=onepage&q=%22monster%20group%22&f=false 443 We next consider the possible orbifoldings of with respect to elements of the Monster group M [Tul]. en 2008 L. J. P. Kilford Modular Forms: A Classical and Computational Introduction w:Imperial College Press https://books.google.com.au/books?id=txPhITLO1YoC&pg=PA106&dq=%22monster+group%22&hl=en&sa=X&ved=0ahUKEwjs9NGXwtLbAhWxCDQIHbL6DBQQ6AEIOTAD#v=onepage&q=%22monster%20group%22&f=false 106 We note that ; this is not just a numerological coincidence, but follows from a branch of mathematics called moonshine theory which arises from string theory and relates the Monster group and modular functions. en 2014 Martin Schlichenmaier Krichever-Novikov Type Algebras: Theory and Applications w:Walter de Gruyter https://books.google.com.au/books?id=alvnBQAAQBAJ&pg=PA340&dq=%22monster+group%22&hl=en&sa=X&ved=0ahUKEwjs9NGXwtLbAhWxCDQIHbL6DBQQ6AEIsgEwGA#v=onepage&q=%22monster%20group%22&f=false 340 They were also crucial in understanding the Monster and Moonshine phenomena, which refers to the fact that the dimensions of the irreducible representations of the largest sporadic finite group, the monster group, show up in the q-expansion coefficients of the elliptic modular function j. Synonyms the largest sporadic group en Fischer–Griess Monster, en friendly giant Derived terms en baby monster group Translations the largest sporadic group Polish: pl grupa monstrum f See also en monstrous moonshine en supersingular prime Further reading Baby monster group Monstrous moonshine Supersingular prime Monster Group on MathWorld Wolfram MathWorld