On Finite Groups With Some Maximal H-Subgroups

Wang, L. L.; Wang, A. F.; Chen, G. Y.
May 2014
Southeast Asian Bulletin of Mathematics;2014, Vol. 38 Issue 3, p451
Academic Journal
A subgroup H of a finite group G is called an -subgroup of G if the following condition is satisfied: NG(H) ∩ Hg ≤ H,mbox for all g ∈ G. The set of all -subgroups of a group G will be denoted by (G). In this paper, some new results for a finite group to be supersolvable or p-nilpotent are obtained based on the assumption that some maximal subgroups belong to (G).


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