Dergiler / International Electronic Journal of Algebra / 2023 / Cilt: 34 Sayı: 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

Wenjing LIU, Jiangtao SHI, Yunfeng TIAN

Sayfa
207–209
DOI
—

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.

Anahtar kelimeler: Non-nilpotent maximal subgroup, solvable group, normal subgroup of prime-power order