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- W2160020741 abstract "Let ℱ be a saturated formation containing the class of supersolvable groups and let G be a finite group. The following theorems are shown: (1) G ∈ ℱ if and only if there is a normal subgroup H such that G/H ∈ ℱ and every maximal subgroup of all Sylow subgroups of H is either c-normal or s-quasinormally embedded in G; (2) G ∈ ℱ if and only if there is a soluble normal subgroup H such that G/H ∈ ℱ and every maximal subgroup of all Sylow subgroups of F(H), the Fitting subgroup of H, is either c-normally or s-quasinormally embedded in G." @default.
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- W2160020741 date "2008-04-01" @default.
- W2160020741 modified "2023-10-03" @default.
- W2160020741 title "On s-quasinormal and c-normal subgroups of a finite group" @default.
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- W2160020741 doi "https://doi.org/10.1007/s10114-007-6283-9" @default.
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