Guo, Yanhui; Li, Xianhua \(\mathfrak F\)-groups and Hall \(s\)-semiembedded subgroups. (English) Zbl 1369.20020 J. Algebra Appl. 16, No. 3, Article ID 1750059, 6 p. (2017). Summary: Let \(G\) be a finite group. A subgroup \(H\) of \(G\) is said to be a Hall \(s\)-semiembedded subgroup of \(G\) if \(H\) is a Hall subgroup of \(\langle H,P \rangle\) for any \(P \in \mathrm {Syl}_p(G)\), where \((p,|H|)=1\). In this paper, we investigate the influence of Hall \(s\)-semiembedded subgroups on the structure of the finite group \(G\). Some new results about \(G\) to be a \(\mathfrak F\)-group are obtained, where is a saturated formation. Cited in 1 Document MSC: 20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure 20D40 Products of subgroups of abstract finite groups 20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks Keywords:Hall \(s\)-semiembedded subgroup; saturated formation; finite group PDFBibTeX XMLCite \textit{Y. Guo} and \textit{X. Li}, J. Algebra Appl. 16, No. 3, Article ID 1750059, 6 p. (2017; Zbl 1369.20020) Full Text: DOI References: [1] Ballester-Bolinches, A. and Pedraza-Aguilera, M. C., On minimal subgroups of finite groups, Acta Math. Hungar.73(4) (1996) 335-342. · Zbl 0930.20021 [2] Guo, W., The Theory of Classes of Groups (Science Press-Kluwer Academic Publishers, 2000). [3] Guo, W., The influence of minimal subgroups on the structure of finite groups, Southeast Asia Bull. Math.22 (1998) 287-290. · Zbl 0937.20008 [4] Huppert, B., Endliche Gruppen 1 (Springer, New York, 1967). · Zbl 0217.07201 [5] Huppert, B. and Blackburn, N., Finite Groups III (Springer, Berlin, 1982). · Zbl 0514.20002 [6] Isaacs, I. M., Semipermutable \(\pi \)-subgroups, Arch. Math.102 (2014) 1-6. · Zbl 1297.20018 [7] Li, Y., He, X. and Wang, Y., On \(s\)-semipermutable subgroups of finite groups, Acta Math. Sin. (Engl. Ser.)26(11) (2010) 2215-2222. · Zbl 1209.20018 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.