• شماره ركورد كنفرانس
    4371
  • عنوان مقاله

    On finite groups whose self-centralizing subgroups are normal

  • پديدآورندگان

    Hassanzadeh .M mahassanzadeh@mathdep.iust.ac.ir Iran University of Science Technology , Mostaghim .Z mostaghim@iust.ac.ir Iran University of Science Technology

  • تعداد صفحه
    4
  • كليدواژه
    self , centralizing subgroup , normal subgroup , maximal abelian subgroup , extraspecial pgroup , nilpotent group
  • سال انتشار
    1396
  • عنوان كنفرانس
    دهمين كنفرانس ملي نظريه گروه هاي ايران
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    ‎In this paper‎, ‎we prove that in a finite group‎, ‎every self-centralizing subgroup is normal‎ ‎iff it is a nilpotent group of class two‎. ‎Also we show that finite groups‎, ‎whose self-centralizing subgroups are subnormal‎ ‎are exactly nilpotent groups‎.
  • كشور
    ايران