Finite p′-nilpotent groups. II

Abstract

In this paper we continue the study of finite p′-nilpotent groups that was started in the first part of this paper. Here we give a complete characterization of all finite groups that are not p′-nilpotent but all of whose proper subgroups are p′-nilpotent.

Keywords

• Frattini subgroup
• p′-nilpotent group
• maximal subgroup
• nilpotent group
• solvable group.