TTHE CONJUGACY CLASSES OF METABELIAN GROUPS OF ORDER AT MOST 24

Authors

  • Nor Haniza Sarmin Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Ibrahim Gambo Department of Mathematics, Faculty of Science, Bauchi State University Gadau, Nigeria
  • Sanaa Mohamed Saleh Omer Department of Mathematics, Faculty of Science, University of Benghazi, Benghazi, Libya

DOI:

https://doi.org/10.11113/jt.v77.4232

Keywords:

Conjugacy class, metabelian groups

Abstract

In this paper, G denotes a non-abelian metabelian group and denotes conjugacy class of the element x in G. Conjugacy class is an equivalence relation and it partitions the group into disjoint equivalence classes or sets. Meanwhile, a group is called metabelian if it has an abelian normal subgroup in which the factor group is also abelian. It has been proven by an earlier researcher that there are 25 non-abelian metabelian groups of order less than 24 which are considered in this paper. In this study, the number of conjugacy classes of non-abelian metabelian groups of order less than 24 is computed.

Author Biography

  • Nor Haniza Sarmin, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

    Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia,81310 UTM Johor Bahru, Johor, Malaysia

References

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Published

2015-10-21

Issue

Section

Science and Engineering

How to Cite

TTHE CONJUGACY CLASSES OF METABELIAN GROUPS OF ORDER AT MOST 24. (2015). Jurnal Teknologi, 77(1). https://doi.org/10.11113/jt.v77.4232