Janko, Zvonivir Finite \(p\)-groups with a uniqueness condition for non-normal subgroups. (English) Zbl 1084.20016 Glas. Mat., III. Ser. 40, No. 2, 235-240 (2005). Summary: We determine up to isomorphism all finite \(p\)-groups \(G\) which possess non-normal subgroups and each non-normal subgroup is contained in exactly one maximal subgroup of \(G\). For \(p=2\) this problem is essentially more difficult and we obtain in that case two new infinite families of finite \(2\)-groups. Cited in 2 Documents MSC: 20D15 Finite nilpotent groups, \(p\)-groups 20D30 Series and lattices of subgroups 20E28 Maximal subgroups Keywords:finite \(p\)-groups; minimal nonabelian \(p\)-groups; \(2\)-groups of maximal class; Hamiltonian groups; maximal subgroups PDFBibTeX XMLCite \textit{Z. Janko}, Glas. Mat., III. Ser. 40, No. 2, 235--240 (2005; Zbl 1084.20016)