On quasi \(S\)-propermutable subgroups of finite groups
Summary: A subgroup \(H\) of a finite group \(G\) is said to be quasi \(S\)-propermutable in \(G\) if \(K\vartriangleleft G\) such that \(HK\) is \(S\)-permutable in \(G\) and \(H\cap K\leq H_{qsG}\), where \(H_{qsG}\) is the subgroup formed by all those subgroups of \(H\) which are \(S\)-propermutable in \(G\). In this paper, we give some generalizations of finite group \(G\) by using the properties and effects of quasi \(S\)-propermutable subgroups.
scientific article; zbMATH DE number 7290909
scientific article