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Some local properties defining $T_0$-groups and related classes of groups

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	Ballester-Bolinches, Adolfo Perfil; Beidleman, J.C.; Esteban Romero, Ramón Perfil; Ragland, M.F.
	This document is a artículoDate2016
	Este documento está disponible también en : http://hdl.handle.net/10550/49784
	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
	Ballester-Bolinches, Adolfo Beidleman, J.C. Esteban Romero, Ramón Ragland, M.F. 2016 Some local properties defining $T_0$-groups and related classes of groups Publicacions Matematiques 60 1 265 272
	http://dx.doi.org/10.5565/PUBLMAT_60116_10