On Completions And θ-Completions For Maximal Subgroups

In this paper, considering some special maximal subgroups of a given group G, the solvability or supersolvability of G is discussed under weaken conditions by using the properties of maximal completions or maximal 9 - completions of maximal subgroups of Go Especially, we introduce A (G) and B(G) , two sets of maximal subgroups of G and get a series of results.