On twisted conjugacy classes of type D in sporadic simple groups
Quantum Algebra
2013-03-18 v4
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.
Keywords
Cite
@article{arxiv.1107.0310,
title = {On twisted conjugacy classes of type D in sporadic simple groups},
author = {F. Fantino and L. Vendramin},
journal= {arXiv preprint arXiv:1107.0310},
year = {2013}
}
Comments
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