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The monster contains 20 of the 26 sporadic groups as subquotients. This diagram, based on one in the book Symmetry and the Monster by Mark Ronan, shows how they fit together. [19] The lines signify inclusion, as a subquotient, of the lower group by the upper one. The circled symbols denote groups not involved in larger sporadic groups.
The capture of the monster: a mathematical group with a ridiculous number of elements 1980 Jul: The pleasures of doing Science and technology in the planiverse: 1980 Aug: On the fine art of putting players, pills and points into their proper pigeonholes: 1980 Sep: Dr. Matrix, like Mr. Holmes, comes to an untimely and mysterious end 1980 Oct
Griess' work has focused on group extensions, cohomology and Schur multipliers, as well as on vertex operator algebras and the classification of finite simple groups. [5] [6] In 1982, he published the first construction of the monster group using the Griess algebra, and in 1983 he was an invited speaker at the International Congress of Mathematicians in Warsaw to give a lecture on the sporadic ...
In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group M and modular functions, in particular the j function.The initial numerical observation was made by John McKay in 1978, and the phrase was coined by John Conway and Simon P. Norton in 1979.
Consists of subgroups which are closely related to the Monster group M: [13] B or F 2 has a double cover which is the centralizer of an element of order 2 in M; Fi 24 ′ has a triple cover which is the centralizer of an element of order 3 in M (in conjugacy class "3A") Fi 23 is a subgroup of Fi 24 ′ Fi 22 has a double cover which is a ...
In collaboration with James Lepowsky and Arne Meurman, he constructed the monster vertex algebra, a vertex algebra which provides a representation of the monster group. [ 3 ] [ 4 ] Around 1990, as a member of the School of Mathematics at the Institute for Advanced Study , Frenkel worked on the mathematical theory of knots , hoping to develop a ...
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