The Tensor Degree of a Pair of Finite Groups

Subject Areas : Statistics

hanieh golmakani ¹ , Abbas Jafarzadeh ² , پیمان Niroomand ³

1 - Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
2 - Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
3 - School of Mathematics and Computer Science Damghan University, Damghan, Iran

Received: 2017-11-12 Accepted : 2018-06-24 Published : 2018-03-01

Keywords: درجه جابه‌جایی نسبی, درجه جابه‌جایی, درجه تانسوری,

Abstract :

In this paper, we study the tensor commutativity degree of pair of finite groups. Erdos introduced the relative commutativity degree and studied its properties. Then, Mr. Niroomand introduced the tensor relative commutativity degree, calculated tensor relative degree for some groups, and studied its properties. Also, he explained its relation with relative commutativity degree. In this paper, we give a brief explanation of the tensor commutativity degree and could introduce relations for this tensor commutativity degree. We proved some relations, including the relation among tensor commutativity degree of subgroups of a group. In addition, we introduced some boundaries for groups having special properties.