关于群类的Sylow性质

Some Sylow Properties of Group Classes

群类理论是在有限可解群研究工作的基础上发展起来的,但近年来对有限群论的许多方面都起到越来越大的作用.在考察群类性质时,注意到一个Fitting类(?)在可解群G中的(?)内射子具有Sylow子群所具有的某些性质,并且关于Sylow定理中(Sy13),证明了对于群的本原子群,成立更强的结论.

The theories of group classes developed on the foundation of research of finite solvable groups, yet resent years they play more and more important role for the finite group theory in general. In the investigation of group classes,we notice that the F-injector of a fitting class F in G have some properties similiar to that of the sylow subgroup in a group,where G is a solvable group. For primitive subgroup in a group,we get a more power result than the third point （sly3） of sylow theorem.