Some local properties defining $T_0$-groups and related classes of groups
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Ballester-Bolinches, Adolfo; Beidleman, J.C.; Esteban Romero, Ramón; Ragland, M.F.
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Aquest document és un/a article, creat/da en: 2016
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We call G a Hall_X -group if there exists a normal nilpotent subgroup N of G for which G/N' is an X -group. We call G a T_0-group provided G/Φ(G) is a T -group, that is, one in which normality is a transitive relation. We present several new local classes of groups which locally define HallX -groups and T0 -groups where X ∈ {T , PT , PST }; the classes PT and PST denote, respectively, the classes of groups in which permutability and S-permutability are transitive relations |
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