Commutativity degree of $\mathbb{Z}_p$≀$\mathbb{Z}_{p^n}

Subject Areas : History and biography

M. Maghasedi ¹

1 - Islamic Azad University, Karaj Branch, Iran

Received: 2012-01-01 Accepted : 2012-01-01 Published : 2012-03-01

Keywords: Presentation of groups, Finite groups, commutativity degree,

Abstract :

For a nite group G the commutativity degree denote by d(G) and dend:$$d(G) =\frac{|\{(x; y)|x, y\in G,xy = yx\}|}{|G|^2}.$$ 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.

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