New criteria of supersolubility of finite groups

Abstract

We study the structure of finite groups in which some given subgroups are <inline-formula><tex-math id="M43">\begin{document}$\sigma$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JUSTC-2022-0132_M43.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JUSTC-2022-0132_M43.png"/></alternatives></inline-formula>-embedded. In particular, we obtain some new criteria for the supersolubility of finite groups, which generalize some known results.