Hamid Reza Moradi - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Mona Moradi - Department of Computer Engineering, Ferdows Branch, Islamic Azad University, Ferdows, Iran

The main goal of this paper is to provide a new concept in finite groups named rewritable groups. In this paper we extend probability that two elements of a certain group G commute. Using it, we define the probability that n elements of a certain group G commute. Moreover, For this concept, some related results and illustrative examples are also discussed. In fact, Commutative Probability is a special case of rewriting.

Finite Groups, Commutative Probability, rewritable group, Conjugation Group