A general case of the commutativity degree of nilpotent p-groups of class two

• Main Author: Sarmin, Nor Haniza
• Format: Conference or Workshop Item
• Published: 2012
• Subjects: QA75 Electronic computers. Computer science
• Online Access: http://eprints.utm.my/id/eprint/36323/; http://dx.doi.org/10.1063/1.4801212
• Institution: Universiti Teknologi Malaysia

Given a finite group, the commutativity degree of the group is defined as the probability that two elements of the group, chosen randomly with replacement, commute. The commutativity degree can be considered as a special case of a more general probability which is the probability that the commutator...