THE E-PAIRS FOR MAXIMAL SUBGROUPS AND C-NORMAL SUBGROUPS

Let G be a group.In this paper,considering some special maximal subgroups of group G,we study the solvability ,supersolvability and nipotency of the group by using theta pairs and C-normality .Especially we introduce L(G) the set of the maximal subgroups which doesn't contain G',and obtain a series of resluts.In addition,let M be a maximal group of group G , with som properties,then we obtain more new results.