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The cubed commutativity degree of dihedral groups

Hamid, M. A. and Ali, N. M. M. and Sarmin, N. H. and Erfanian, A. (2016) The cubed commutativity degree of dihedral groups. In: 23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015, 24 November 2015 through 26 November 2015, Johor Bahru; Malaysia.

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Abstract

Let G be a finite group. The commutativity degree of a group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-th power of a random pair of elements in the group commute. In this research, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 3, called the cubed commutativity degree.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:the n-th power commutativity degree
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:73228
Deposited By: Muhammad Atiff Mahussain
Deposited On:26 Nov 2017 11:37
Last Modified:26 Nov 2017 11:37

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