Periodic groups, whose cyclic subgroups either are ascendant or almost self-normalized

Authors

  • L. A. Kurdachenko
  • A. A. Pypka
  • N. N. Semko

DOI:

https://doi.org/10.15407/dopovidi2015.10.017

Keywords:

locale finite groups, periodic groups

Abstract

The structure of locale finite groups, whose cyclic subgroups either are ascendant (respectively, subnormal) or have finite index in their normalizers, is studied. Their description and properties are presented.

Downloads

References

Plotkin B. I. Dokl. AN USSR, 1951, 76: 639–641 (in Russian).

Gruenberg K. W. Illinois J. Math., 1959, 3: 151–168.

Lennox J. C., Stonehewer S. E. Subnormal subgroups of groups, Oxford: Clarendon Press, 1987.

Kurdachenko L. A., Smith H. J. Pure Appl. Algebra, 2005, 196, No 2–3: 271–278. https://doi.org/10.1016/j.jpaa.2004.08.005

Kurdachenko L. A., Otal J., Russo A., Vincenzi G. Centr. Europ. J. Math., 2011, 9: 420–432. https://doi.org/10.2478/s11533-011-0007-1

Published

08.02.2025

How to Cite

Kurdachenko, L. A., Pypka, A. A., & Semko, N. N. (2025). Periodic groups, whose cyclic subgroups either are ascendant or almost self-normalized . Reports of the National Academy of Sciences of Ukraine, (10), 17–20. https://doi.org/10.15407/dopovidi2015.10.017