@article{article_1577338, title={On finite groups in which every maximal subgroup of order divisible by $p$ is $p$-decomposable}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={54}, pages={1725–1729}, year={2025}, DOI={10.15672/hujms.1577338}, author={Wang, Qianqian and Tao, Shijie}, keywords={maximal subgroup, p-decomposable group, inner p-decomposable, Sylow subgroup}, abstract={We obtain a complete classification of a finite group $G$ in which every maximal subgroup of order divisible by $p$ is $p$-decomposable for a given prime divisor $p$ of |$G$| and our results generalize a recent result of Shi and Tian.}, number={5}, publisher={Hacettepe University}, organization={National Natural Science Foundation of China,e Natural Science Research Start-up Foundation of Recruiting Talents of Nanjing University of Posts and Telecommunications}