On twisted conjugacy classes of type D in sporadic simple groups
| Autor: | Fantino, F., Vendramin, L. |
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| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | Contemp. Math. 585 (2013) 247-259 |
| Druh dokumentu: | Working Paper |
| Popis: | We classify twisted conjugacy classes of type D associated to the sporadic simple groups. This is an important step in the program of the classification of finite-dimensional pointed Hopf algebras with non-abelian coradical. As a by-product we prove that every complex finite-dimensional pointed Hopf algebra over the group of automorphisms of M12, J2, Suz, He, HN, T is the group algebra. In the appendix we improve the study of conjugacy classes of type D in sporadic simple groups. Comment: 15 pages, 6 tables. Twisted conjugacy classes of type D in sporadic simple groups are now completely classified. Several improvements related to conjugacy classes in sporadic simple groups are included in the appendix |
| Databáze: | arXiv |
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