The Conway-Miyamoto correspondences for the Fischer 3-transposition groups
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\mathrm {Fi}_{23} and Fi22\mat...
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| Veröffentlicht in: | Transactions of the American Mathematical Society 2022-03, Vol.375 (3), p.2025-2067 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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\mathrm {Fi}_{23} and Fi22\mathrm {Fi}_{22} and c=25/28c=25/28 and c=11/12c=11/12 Virasoro vectors of subalgebras of the moonshine vertex operator algebra. |
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| ISSN: | 0002-9947 1088-6850 |
| DOI: | 10.1090/tran/8589 |