شماره ركورد كنفرانس :
4371
عنوان مقاله :
On The Relative 2-Engel Degree Of Finite Groups
پديدآورندگان :
Golmakani .H h.golmakani@mshdiau.ac.ir International Campus of Ferdowsi University of Mashhad , Jafarzadeh .A jafarzadeh@um.ac.ir Ferdowsi University of Mashhad , Erfanian .A erfanian@math.um.ac.ir Ferdowsi University of Mashhad
كليدواژه :
relative commutativity degree , 2 , Engel degree , 2 , Engel group
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گروه هاي ايران
چكيده فارسي :
Let $G$ be a finite group. The concept of $n$-Engel degree of $G$, denoted by $d_{n}(G)$, is the probability of two randomly chosen elements x and y of $G$ satisfy the n-Engel condition $[y,_nx]=1$. 1-Engel degree of the group $G$ is the known commutativity degree of $G$. The aim of this paper is to define and investigate the relative 2-Engel degree of $G$ and a subgroup $H$ of $G$.
