THE SQUARED COMMUTATIVITY DEGREE OF DIHEDRAL GROUPS

Authors

  • Muhanizah Abdul Hamid Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Nor Muhainiah Mohd Ali Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Nor Haniza Sarmin Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Ahmad Erfanian Department of Pure Mathematics, Faculty of Mathematical Sciences and Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, Mashhad, Iran
  • Fadila Normahia Abd Manaf Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

DOI:

https://doi.org/10.11113/jt.v78.7811

Keywords:

Commutativity degree, Dihedral group, finite group

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.

References

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Issue

Vol. 78 No. 3-2: Steering Innovation, Serving Society in Achieving Global Excellence Towards Science and Technology Vol. 2

Section

Science and Engineering

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Copyright of articles that appear in Jurnal Teknologi belongs exclusively to Penerbit Universiti Teknologi Malaysia (Penerbit UTM Press). This copyright covers the rights to reproduce the article, including reprints, electronic reproductions, or any other reproductions of similar nature.

How to Cite

THE SQUARED COMMUTATIVITY DEGREE OF DIHEDRAL GROUPS. (2016). Jurnal Teknologi, 78(3-2). https://doi.org/10.11113/jt.v78.7811