The precise value of commutativity degree in some finite groups

• Main Authors: Moradipour, Kayvan, Sarmin, Nor Haniza, Erfanian, Ahmad
• Format: Article
• Language: English
• Published: Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia 2012
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/29097/1/Nor%20Haniza%20Sarmin2012_ThePreciseValueofCommutativityDegreeinSomeFiniteGroups.pdf; http://eprints.utm.my/id/eprint/29097/; http://mjfas.ibnusina.utm.my/index.php/jfs/article/viewFile/278/207
• Institution: Universiti Teknologi Malaysia

The commutativity degree of a finite group G, denoted by P(G), is the probability that a selected chosen pair of elements of G commute. The object of this paper is to compute a precise value of commutativity degree of some finite metacyclic p-groups of class at least 3. In particular, we describe the commutativity degree of these groups in split and non-split case.