The Conway-Miyamoto correspondences for the Fischer 3-transposition groups
Abstract
In this paper, we present a general construction of 3-transposition groups as automorphism groups of vertex operator algebras. Applying to the moonshine vertex operator algebra, we establish the Conway-Miyamoto correspondences between Fischer 3-transposition groups Fi23 and Fi22 and c=25/28 and c=11/12 Virasoro vectors of subalgebras of the moonshine vertex operator algebra.
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