• 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

  • تعداد صفحه
    3
  • كليدواژه
    relative commutativity degree , 2 , Engel degree , 2 , Engel group
  • سال انتشار
    1396
  • عنوان كنفرانس
    دهمين كنفرانس ملي نظريه گروه هاي ايران
  • زبان مدرك
    انگليسي
  • 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 $G$‎.
  • كشور
    ايران