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Ωζ-foliated Fitting Classes

Ωζ-расслоенные классы Фиттинга

2020
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Izvestiya of Saratov University New Series Series Mathematics Mechanics Informatics
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Ωζ-расслоенные классы Фиттинга

All groups under consideration are assumed to be finite. For a nonempty subclass of Ω of the class of all simple groups I and the partition ζ = {ζi | i ∈ I}, where ζi is a nonempty subclass of the class I, I = ∪i∈I ζi and ζi ∩ ζj = ø for all i ≠ j, ΩζR-function f and ΩζFR-function φ are introduced. The domain of these functions is the set Ωζ ∪ {Ω′}, where Ωζ = { Ω ∩ ζi | Ω ∩ ζi ≠ ø }, Ω′ = I \ Ω. The scope of these function values is the set of Fitting classes and the set of nonempty Fitting

doi:10.18500/1816-9791-2020-20-4-424-433
fatcat:5w5iuhy7pjfnnmkgjacmrnzy5y