An analog of the Frattini subgroup

Finite p-groups

“…He has completely described such groups for p = 2 and for p > 2 when IG : C(G')[ < p2. A subgroup of a group is said to be supercomplementable if each subgroup containing this subgroup is complementable in the group, p-Groups, with p > 2, having a cyclic supercomplementable subgroup are described in [36]. A subgroup of a group is said to be supercomplementable if each subgroup containing this subgroup is complementable in the group, p-Groups, with p > 2, having a cyclic supercomplementable subgroup are described in [36].…”