Central Factor Groups of Locally Finite and Locally Nilpotent Groups

Document Type : Original Research Article

Authors

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.

Abstract

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


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  3. A. Mann, The exponents of central factor and commutator groups, J. Group Theory, 10, 435–436 (2007).
Volume 7, Issue 1
November 2022
Pages 63-66
  • Receive Date: 18 March 2022
  • Revise Date: 22 June 2022
  • Accept Date: 04 July 2022
  • Publish Date: 01 November 2022