Central Factor Groups of Locally Finite and Locally Nilpotent Groups

Document Type : Research Paper


1 Department of pure Mathematics, Ferdowsi University of Mashhad,Mashhad, lran

2 Department of Basic Sciences, School of Mathematical Sciences, Payame Noor University, Tehran, Iran.

3 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.


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