Central Factor Groups of Locally Finite and Locally Nilpotent Groups

Document Type : Research Paper

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.

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References

  1. N. S. Hekster, On the structure of n-isoclinism classes of groups, J. Pure Appl. Algebra, 40, 63–85 (1986).
  2. P. Hilton, On a theorem of Schur, Int. J. Math. Sci., 28, 455–460 (2001).
  3. A. Mann, The exponents of central factor and commutator groups, J. Group Theory, 10, 435–436 (2007).
Global Analysis and Discrete Mathematics
Volume 7, Issue 1
November 2022
Pages 63-66

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History

  • Receive Date: 18 March 2022
  • Revise Date: 22 June 2022
  • Accept Date: 04 July 2022

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