Skip to main content
Log in

Factor morphisms and centroids of locally nilpotent groups

  • Published:
Algebra and Logic Aims and scope

For a class of locally nilpotent groups, we study interrelations between two known analogs of the concept of a ring centroid in the class of groups.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. N. Ponomaryov, Rigid Algebras and Non-Associative Rings, Novosibirsk Techn. Univ., Novosibirsk (2007).

    Google Scholar 

  2. K. N. Ponomaryov, “Factor morphisms of nilpotent groups,” Sib. Mat. Zh., 32, No. 3, 119–125 (1991).

    Google Scholar 

  3. S. Lioutikov and A. Myasnikov, “Centroids of groups,” J. Group Th., 3, No. 2, 177–197 (2000).

    Article  MATH  MathSciNet  Google Scholar 

  4. I. V. Arzhantsev, “Uniqueness of addition in semisimple Lie algebras,” Usp. Mat. Nauk, 56, No. 3, 155/156 (2001).

    MathSciNet  Google Scholar 

  5. G. Pilz, Near-Rings. The Theory and Its Applications, North-Holland Math. Stud., 23, North-Holland, New York (1977).

  6. M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory [in Russian], 2nd edn., Nauka, Moscow (1977).

    Google Scholar 

  7. A. G. Kurosh, Group Theory [in Russian], Nauka, Moscow (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. N. Ponomarev.

Additional information

Translated from Algebra i Logika, Vol. 50, No. 1, pp. 42–67, January–February, 2011.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ponomarev, K.N. Factor morphisms and centroids of locally nilpotent groups. Algebra Logic 50, 29–45 (2011). https://doi.org/10.1007/s10469-011-9122-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10469-011-9122-0

Keywords

Navigation