شماره ركورد كنفرانس :
4371
عنوان مقاله :
Counting 2-Engelizers in finite groups
پديدآورندگان :
Khoshtarash Raheleh rakho86@gmail.com Mashhad Branch, Islamic Azad University , R. Moghaddam Mohammad Reza m.r.moghaddam@khayyam.ac.ir Khayyam University
كليدواژه :
Engelizer subgroup , 2 , Engel element , 2 , Engel group
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گروه هاي ايران
چكيده فارسي :
In 2016, the second author introduced the notion of 2-Engelizer of the element $x$ in the given group $G$ and denoted the set of all 2-Engelizers in $G$ by $E^2(G)$. In this talk, we classify all non 2-Engel finite
groups $G$, when $|E^2(G)|=4, 5$.