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

Abd. Manaf, F. N. and Sarmin, N. H. and Mohd. Ali, N. M. and Erfanian, A. and Ghouchan, M. F. D. (2013) A general case of the commutativity degree of nilpotent p-groups of class two. In: Proceedings Of The 20th National Symposium On Mathematical Sciences (SKSM20): Research In Mathematical Sciences: A Catalyst For Creativity And Innovation, PTS A And B.

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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)
Subjects:T Technology > TK Electrical engineering. Electronics Nuclear engineering
ID Code:50856
Deposited By: Haliza Zainal
Deposited On:27 Jan 2016 01:53
Last Modified:14 Sep 2017 06:48

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