Sarmin, Nor Haniza (2012) A general case of the commutativity degree of nilpotent p-groups of class two. In: International Science Postgraduate Conference 2012, 27-30 November 2012, Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia.
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Official URL: http://dx.doi.org/10.1063/1.4801212
Abstract
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 of two group elements is equal to a given element in the group. This research focuses on the finite p-groups of nilpotency class two. Some basic concepts and results on the general case of the commutativity degree are presented.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | group theory, probability, Nilpotency class two |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Divisions: | Chancellery |
| ID Code: | 36323 |
| Deposited By: | Liza Porijo |
| Deposited On: | 17 Feb 2014 01:27 |
| Last Modified: | 27 Aug 2017 10:55 |
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