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- W2035934051 abstract "Let F denote a saturated formation. In this paper we study some properties of F -hypercentrally embedded subgroups, i.e., those subgroups T of a finite group G such that every chief factor of G between its core and its normal closure is F -central in G . We prove that these subgroups form a sublattice of the lattice of all subgroups of G , if F is subgroup-closed. The main result of the paper is the following: if F contains the class of nilpotent groups and G is a soluble group, a subgroup T which permutes with all Sylow subgroups of G is F -hypercentrally embedded in G if and only if T permutes with some F -normalizer of G ." @default.
- W2035934051 created "2016-06-24" @default.
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- W2035934051 date "2003-06-01" @default.
- W2035934051 modified "2023-10-14" @default.
- W2035934051 title "Some permutability properties related to F-hypercentrally embedded subgroups of finite groups" @default.
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- W2035934051 doi "https://doi.org/10.1016/s0021-8693(03)00117-0" @default.
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