The Frattini argument and $t$-groups

Ben Brewster, Surinder Sehgal
1987 Proceedings of the American Mathematical Society  
If enough subgroups of a group satisfy the Frattini argument in the group, then normality is a transitive relation within the group. Subgroup functors are used to specify what enough is.
doi:10.1090/s0002-9939-1987-0902535-5 fatcat:npwsr7xplzfllimsqk42eder4e