Central Factor Groups of Locally Finite and Locally Nilpotent Groups

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.

Keywords:

Schur’s theorem , Locally finite group , Locally nilpotent group , Isoclinism