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arXiv · 1107.0310

On twisted conjugacy classes of type D in sporadic simple groups

F. Fantino·L. Vendramin
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Abstract

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.

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BibTeXRIS

F. Fantino, L. Vendramin. 2011-07-01. On twisted conjugacy classes of type D in sporadic simple groups. https://arxiv.org/abs/1107.0310

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