Han, Cheng; Deng, Xianyin; Wang, Dongming Weakly \(SS\)-quasinormally supplemented subgroups of finite groups. (Chinese. English summary) Zbl 1289.20036 J. Jiangsu Norm. Univ., Nat. Sci. 31, No. 2, 1-5 (2013). Summary: A subgroup \(H\) of a group \(G\) is said to be weakly \(SS\)-quasinormally supplemented in \(G\) if there is a subgroup \(T\) of \(G\) such that \(G=HT\) and \(H\cap T\leqslant H_{SSG}\), where \(H_{SSG}\) is some \(SS\)-quasinormal subgroup of \(G\) contained in \(H\). By using the concept of weakly \(SS\)-quasinormally supplemented subgroups, some new criteria of \(p\)-nilpotent groups and nilpotent groups are obtained. MSC: 20D40 Products of subgroups of abstract finite groups 20D25 Special subgroups (Frattini, Fitting, etc.) 20D15 Finite nilpotent groups, \(p\)-groups Keywords:finite groups; quasinormal subgroups; weakly supplemented subgroups; \(p\)-nilpotence PDFBibTeX XMLCite \textit{C. Han} et al., J. Jiangsu Norm. Univ., Nat. Sci. 31, No. 2, 1--5 (2013; Zbl 1289.20036)