Chen Zhongmu.Outer-\Sigma Groups of Finite Order[J].Chinese Annals of Mathematics B,1987,8(1):109~119
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Authors：
Chen Zhongmu;
Abstract：
Suppose that \Sigma is a group-theoretic property. A group whose every proper subgroup but itself is a \Sigma group is called an outer-\Sigma group.
The paper gives a series of results to groups which possess trivial Frattini subgroup and only one solvable minimal normal subgroup. The outer groups are such groups when the classe of \Sigma groups is a saturated formation.
By use of aforementioned results, the c(k) groups (group with classes less than k),Г_k-pn groups (groups whose k-th term of lower central series are p-nilpotenit) and p-supersolvable groups are discussed.
