Document Type : Research Paper
Department of pure Mathematics, Ferdowsi University of Mashhad,Mashhad, lran
Department of Basic Sciences, School of Mathematical Sciences, Payame Noor University, Tehran, Iran.
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
Let P be a group property. A group G is called a locally Pgroup if each finite subset of G is contained in a P-subgroup of G. In this paper some relations between the central factor groups and commutator subgroups in locally nilpotent and locally finite groups are investigated.