关于散在单群中D型扭曲共轭类
量子代数
2013-03-18 v4
摘要
我们对与散在单群相关的D型扭曲共轭类进行了分类。这是对具有非交换余根的有限维点化Hopf代数进行分类的规划中的重要一步。作为副产品,我们证明了在M12、J2、Suz、He、HN、T的自同构群上的每一个复有限维点化Hopf代数都是群代数。在附录中,我们改进了对散在单群中D型共轭类的研究。
引用
@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}
}
备注
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