Notes on NE-subgroups of finite groups

Abstract

In this paper, we first analyze the structure of a finite nonsolvable group in which every cyclic subgroup of order 2 and 4 of every second maximal subgroup is an NE-subgroup. Next, we prove that a finite group G is solvable if every nonnilpotent subgroup of G is a PE-group.

Keywords

NE-subgroup / solvable group / p-nilpotent group

References

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