Xueli Yang, Chenchen Cao , and Chi Zhang

1School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China;

2Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, China

Graphical abstract

Some new criteria of supersolubility of finite groups are obtained by assuming that some given subgroups are σ-embedded.

Public summary

■ Some new properties ofσ-embedded subgroups are established.

■ Some new criteria of supersolubility of finite groups are obtained.

■ Some known results in this research field are generalized.