An approach to Rewritable Probability in Finite Groups

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.

کلیدواژه ها:

Finite Groups ، Commutative Probability ، rewritable group ، Conjugation Group