Guo, Wenbin Finite groups with given normalizers of Sylow subgroups. II. (Chinese. English summary) Zbl 0862.20014 Acta Math. Sin. 39, No. 4, 509-513 (1996). Summary: [For part I cf. Chin. Ann. Math., Ser. A 15, No. 6, 627-631 (1994; Zbl 0838.20020).]In finite soluble groups a necessary and sufficient condition is obtained for an \(S\)-closed local formation \(\mathfrak F\) with \(m({\mathfrak F})\leq 2\) to have the property: “If the normalizer of any non-unit Sylow subgroup of a group \(G\) belongs to \(\mathfrak F\), then \(G\) belongs to \(\mathfrak F\)”. Cited in 1 Document MSC: 20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks 20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure 20D15 Finite nilpotent groups, \(p\)-groups Keywords:finite soluble groups; local formations; normalizers; Sylow subgroups Citations:Zbl 0838.20020 PDFBibTeX XMLCite \textit{W. Guo}, Acta Math. Sin. 39, No. 4, 509--513 (1996; Zbl 0862.20014)