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Finite Groups with \( S \)-Conditionally Permutable Schmidt Subgroups

  • S. F. Kamornikov,
  • V. N. Tyutyanov,
  • O. L. Shemetkova

摘要

A subgroup $ H $ in a finite group $ G $ is $ S $ -conditionally permutable if for every $ p\in\pi(G) $ there exists a Sylow $ p $ -subgroup $ P $ in $ G $ such that $ HP=PH $ .We study the structure of a finite group  $ G $ whose all Schmidt subgroups are $ S $ -conditionallypermutable.