University of Guilan Journal of Algebra and Related Topics 2345-3931 3 1 2015 06 01 Some numerical results on two classes of finite groups 63 72 1214 EN M. Hashemi University of Guilan M. Polkouei University of Guilan Journal Article 2015 03 17 In this paper, we consider the finitely presented groups $G_{m}$ and $K(s,l)$ as follows;<br />$$G_{m}=\langle a,b| a^m=b^m=1,~[a,b]^a=[a,b],~[a,b]^b=[a,b]\rangle $$<br />$$K(s,l)=\langle a,b|ab^s=b^la,~ba^s=a^lb\rangle;$$<br />and find the $n^{th}$-commutativity degree for each of them. Also we study the concept of $n$-abelianity on these groups, where $m,n,s$ and $l$ are positive integers, $m,n\geq 2$ and $g.c.d(s,l)=1$. https://jart.guilan.ac.ir/article_1214_feb823612fb517d4d22669f4bdc86f76.pdf