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Ukrainian Mathematical Journal

, Volume 65, Issue 11, pp 1720–1724 | Cite as

On Finite Groups with Permutable Generalized Subnormal Subgroups

  • V. F. Velesnitskii
  • V. N. Semenchuk
Brief Communications
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We study the Kegel–Shemetkov problem of finding the classes of finite groups \( {\mathfrak F} \) such that, in any finite group, the product of permutable \( {\mathfrak F} \)-subnormal subgroups is a \( {\mathfrak F} \)-subnormal subgroup.

Keywords

Normal Subgroup Proper Subgroup Minimal Normal Subgroup Soluble Group Hereditary Formation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • V. F. Velesnitskii
    • 1
  • V. N. Semenchuk
    • 1
  1. 1.Skorina Gomel Sate UniversityGomelBelarus

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