Finite groups in which every maximal subgroup is nilpotent or normal or has $p^{\prime }$-order

Jiangtao Shi, Na Li, Rulin Shen

Let $G$ be a finite group and $p$ a fixed prime divisor of $|G|$. Combining the nilpotence, the normality and the order of groups together, we prove that if every maximal subgroup…