Universiti Teknologi Malaysia Institutional Repository

The squared Commutativity degree of dihedral groups

Hamid, M. A. and Ali, N. M. M. and Sarmin, N. H. and Erfanian, A. and Manaf, F. N. A. (2016) The squared Commutativity degree of dihedral groups. Jurnal Teknologi, 78 (3-2). pp. 45-49. ISSN 0127-9696

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Abstract

The commutativity degree of a finite 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 paper, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 2, called the squared commutativity degree.

Item Type:Article
Uncontrolled Keywords:Commutativity degree, Dihedral group, Finite group
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:74493
Deposited By: Widya Wahid
Deposited On:28 Nov 2017 05:01
Last Modified:28 Nov 2017 05:01

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