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

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.


Normal Subgroup Proper Subgroup Minimal Normal Subgroup Soluble Group Hereditary Formation 
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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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