The Conway-Miyamoto correspondences for the Fischer 3-transposition groups
Author:
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 F i 23 \mathrm {Fi}_{23} and F i 22 \mathrm {Fi}_{22} and c = 25 / 28 c=25/28 and c = 11 / 12 c=11/12 Virasoro vectors of subalgebras of the moonshine vertex operator algebra.
Funder
Ministry of Science and Technology, Taiwan
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
https://www.ams.org/tran/2022-375-03/S0002-9947-2022-08589-5/S0002-9947-2022-08589-5.pdf
Reference40 articles.
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3. Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Conway, J. H.,1999
4. The 3-transposition groups with trivial center;Cuypers, H.;J. Algebra,1995
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