شماره ركورد كنفرانس :
3934
عنوان مقاله :
On The Characterization of Alternating groups by Order And
Prime Graph And Its Applications
پديدآورندگان :
Mahmoudifar Ali alimahmoudifar@gmail.com Islamic Azad University Tehran;
كليدواژه :
Alternating group , solvable graph , prime graph , degree pattern , Goldbach’s conjecture.
عنوان كنفرانس :
بيست و پنجمين سمينار جبر ايران
چكيده فارسي :
There are some graphs related to the structure of a finite group, say prime graph, solvable graph,
and non-commuting graph of a finite group. In this paper, we consider the characterization by order
and prime graph of alternating groups. In particular, we show that there exists a closed relation
between the characterization by order and prime graph of some of alternating groups and Goldbach’s
conjecture.
