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Finite groups with some \(\mathfrak F\)-supplemented subgroups. II. (English) Zbl 1301.20013

Summary: We obtain a new characterization of \(p\)-nilpotent groups under the assumption that some maximal subgroups of Sylow subgroup are \(\mathfrak F\)-supplemented. As its applications, we generalize many known results.
For part I see X.-L. Yi et al., [J. Algebra Appl. 9, No. 5, 669-685 (2010; Zbl 1213.20014)].

MSC:

20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D40 Products of subgroups of abstract finite groups
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
20D25 Special subgroups (Frattini, Fitting, etc.)

Citations:

Zbl 1213.20014
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References:

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