关于Frobenius群的推广形式

Some generalizations of Frobenius groups

Frobenius群在有限群理论的发展过程中有着非常重要的作用,介绍了Camina对、广义Camina对、(CI)条件及(*)条件等几种常见的Frobenius群和Frobenius核的推广形式,得到了满足(*)条件的有限群和Frobenius群及其它几种推广形式之间的关系.

Frobenius groups play an important role in the finite group theory. There are some generalizations of Frobenius groups. For example,Camina pairs,generalized Camina pairs,property（ CI） and property（ ＊）,and so on. This paper briefly discusses those generalizations,and establishes the relations between property（ ＊） and Camina pairs,generalized Camina pairs,property（ CI）,as well as Frobenius groups.