On some properties of the central and generalized central series of groups

Authors

  • L. A. Kurdachenko
  • L. A. Kurdachenko
  • J. Otal
  • A. A. Pypka

DOI:

https://doi.org/10.15407/dopovidi2015.01.020

Keywords:

Baer, exponent, groups, Schur

Abstract

We prove that the class of locally finite groups having finite exponent is the Baer class. The class of groups, for which the factor-group G/L of the group G on its locally nilpotent residual L is locally nilpotent, is found. New automorphic analogs of the Schur theorem are obtained.

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References

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Kurdachenko L. A., Otal J., Pypka A. A. Bull. Malaysian Math. Sci. Soc., 2015, to appear.

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Published

08.01.2025

How to Cite

Kurdachenko, L. A., Kurdachenko, L. A., Otal, J., & Pypka, A. A. (2025). On some properties of the central and generalized central series of groups . Reports of the National Academy of Sciences of Ukraine, (1), 20–24. https://doi.org/10.15407/dopovidi2015.01.020