Commutativity degree of $\mathbb{Z}_p$≀$\mathbb{Z}_{p^n}
محورهای موضوعی : History and biography
M. Maghasedi
1
(Islamic Azad University, Karaj Branch, Iran)
کلید واژه: Presentation of groups, Finite groups, commutativity degree,
چکیده مقاله :
For a nite group G the commutativity degree denote by d(G) and dend:$$d(G) =\frac{|\{(x; y)|x, y\in G,xy = yx\}|}{|G|^2}.$$ In [2] authors found commutativity degree for some groups,in this paper we nd commutativity degree for a class of groups that have high nilpontencies.