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- W2884595869 abstract "Let G be a finite group and σ={σi|i∈I} be a partition of the set of all primes P. A chief factor H/K of G is said to be σ-central (in G) if the semidirect product (H/K)⋊(G/CG(H/K)) is a σi-group for some i∈I. The group G is said to be σ-nilpotent if either G=1 or every chief factor of G is σ-central. Let GNσ be the σ-nilpotent residual of G, that is, the intersection of all normal subgroups N of G with σ-nilpotent quotient G/N. Then we say that G is σ-supersoluble if each chief factor of G below GNσ is cyclic. In this paper we study properties of σ-supersoluble groups and also consider some applications of such groups in the theory of generalized CLT-groups." @default.
- W2884595869 created "2018-08-03" @default.
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- W2884595869 date "2018-10-01" @default.
- W2884595869 modified "2023-09-25" @default.
- W2884595869 title "On σ-supersoluble groups and one generalization of CLT-groups" @default.
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- W2884595869 doi "https://doi.org/10.1016/j.jalgebra.2018.07.008" @default.
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