Safonov, V. G. A question in the theory of totally local formations of finite groups. (Russian, English) Zbl 1058.20020 Algebra Logika 42, No. 6, 727-736 (2003); translation in Algebra Logic 42, No. 6, 407-412 (2003). Summary: It is proved that all proper totally local subformations of a non one-generated totally local formation \(\mathfrak F\) of finite groups are one-generated iff \(\mathfrak F\) coincides with a formation \({\mathfrak S}_\pi\) of all soluble \(\pi\)-groups, where \(|\pi|=2\). Cited in 2 Documents MSC: 20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks 20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure Keywords:totally local formations of finite groups; soluble \(\pi \)-groups; screens PDFBibTeX XMLCite \textit{V. G. Safonov}, Algebra Logika 42, No. 6, 727--736 (2003; Zbl 1058.20020); translation in Algebra Logic 42, No. 6, 407--412 (2003) Full Text: EuDML