Classical groups
Finite groups
Group schemes
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Super-Lie groups
Higher groups
Cohomology and Extensions
Related concepts
exceptional structures, exceptional isomorphisms
exceptional finite rotation groups:
and Kac-Moody groups:
exceptional Jordan superalgebra, $K_10$
The Conway groups, $Co_{1}, Co_{2}, Co_{3}$, are three of the sporadic finite simple groups. A fourth group, $Co_0$, is the group of automorphisms of the Leech lattice with respect to addition and inner product. This latter group is not simple, but $Co_1$ is the quotient group of $Co_0$ by its center of order 2. The other two simple Conway groups are subgroups of $Co_1$.
The simple Conway groups are three of the seven members of the ‘second generation’ of the Happy Family of 20 simple subquotients of the Monster group.
The Conway group $Co_{0}$ is the group of automorphisms of a super VOA of the unique chiral N=1 super vertex operator algebra of central charge $c = 12$ without fields of conformal weight $1/2$
(Duncan 05, see also Paquette-Persson-Volpato 17, p. 9)
See also at moonshine.
See also
John F. Duncan, Super-moonshine for Conway’s largest sporadic group (arXiv:math/0502267)
Natalie Paquette, Daniel Persson, Roberto Volpato, BPS Algebras, Genus Zero, and the Heterotic Monster (arXiv:1701.05169)
Last revised on May 20, 2019 at 11:18:45. See the history of this page for a list of all contributions to it.