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The Conway-Miyamoto correspondences for the Fischer 3-transposition groups

Published 18 Apr 2016 in math.QA | (1604.04989v2)

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 $\mathrm{Fi}{23}$ and $\mathrm{Fi}{22}$ and $c=25/28$ and $c=11/12$ Virasoro vectors of subalgebras of the moonshine vertex operator algebra.

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