Finite groups with weakly $S$-quasinormal subgroups

Year, pages: 2012, 461 - 472

We introduce a new subgroup embedding property in a finite group called weakly $S$-quasinormality. We say a subgroup $H$ of a finite group $G$ is weakly $S$-quasinormal in $G$ if there exists a normal subgroup $K$ such that $HK\unlhd G$ and $H\cap K$ is $S$-quasinormally embedded in $G$. We use the new concept to investigate the properties of some finite groups. Some previously known results are generalized.

Zhao, Z. 2012. Finite groups with weakly $S$-quasinormal subgroups. In Mathematica Slovaca, vol. 62, no.3, pp. 461-472. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0022-0

Zhao, Z. (2012). Finite groups with weakly $S$-quasinormal subgroups. Mathematica Slovaca, 62(3), 461-472. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0022-0