A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal

A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal

We provide a new and simple proof to show that a finite group in which every non-nilpotent maximal subgroup is normal is solvable.

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  • J. Shi, A finite group in which all non-nilpotent maximal subgroups are normal has a Sylow tower, Hokkaido Math. J., 48(2) (2019), 309-312.