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
كليدواژه :
self , centralizing subgroup , normal subgroup , maximal abelian subgroup , extraspecial pgroup , nilpotent group
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گروه هاي ايران
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.
