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

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International Electronic Journal of Algebra
Volume:34 Issue:34
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

Authors : Wenjing LIU, Jiangtao SHI, Yunfeng TIAN

Pages : 207-209

Doi:10.24330/ieja.1252751

View : 33 | Download : 78

Publication Date : 2023-07-10

Article Type : Research Paper

Abstract :We provide a new and simple proof to show that a finite group in which every non-nilpotent maximal subgroup is normal is solvable.
Keywords : Non nilpotent maximal subgroup, solvable group, normal subgroup of prime power order

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