شماره ركورد كنفرانس :
4371
عنوان مقاله :
n-tensor degree of finite groups
پديدآورندگان :
Pezeshkian Shayesthe pezeshkian93@mshdiau.ac.ir Mashhad Branch, Islamic Azad University , R. Moghaddam Mohammad Reza m.r.moghaddam@khayyam.ac.ir Khayyam University
كليدواژه :
abelian tensor product , tensor centre , tensor degree
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گروه هاي ايران
چكيده فارسي :
In the present paper we talk about $n$-tensor degree of finite group $G$. It is the probability of randomly chosen elements $x$ and $y$ of the group $G$ with $x^n\ot y=1_\ot$ in the non-abelian tensor square $G\ot G$ and denoted by ${\mathcal P}_n^\ot(G)$ for any positive integer $n$