Finite cyclic q-group’s automorphisms with qr -generator

Authors

  • Fatin Hanani Hasan 1.Tunku Abdul Rahman University of Management and Technology, Pahang Branch, Bandar Indera Mahkota, 25200 Kuantan, Pahang, Malaysia 2.Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, Lebuh Persiaran Tun Khalil Yaakob, 26300 Kuantan, Pahang, Malaysia
  • Mohd Sham Mohamad Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, Lebuh Persiaran Tun Khalil Yaakob, 26300 Kuantan, Pahang, Malaysia
  • Yuhani Yusof Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, Lebuh Persiaran Tun Khalil Yaakob, 26300 Kuantan, Pahang, Malaysia
  • Nor Amirah Mohd Busul Aklan Department of Computational and Theoretical Sciences, Kulliyah of Science, International Islamic University Malaysia, 25200 Kuantan, Pahang, Malaysia
  • Siti Hasanah Jusoo Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, Lebuh Persiaran Tun Khalil Yaakob, 26300 Kuantan, Pahang, Malaysia
  • Ekkasit Sangwisut Department of Mathematics and Statistics, Faculty of Science and Digital Innovation, Thaksin University, Phattalung 93110, Thailand

DOI:

https://doi.org/10.15282/daam.v5i1.10970

Keywords:

Cyclic group, Automorphism group, Generator, Compatible action , Number theory

Abstract

The finite cyclic q-group, where q being odd prime, requires generators to validate the formation of automorphisms. A summary of cyclic groups, automorphisms, and characteristics is provided as a foundation for this research. By evaluating the automorphisms, the generators for the qr -power cyclic group in their specific sequence have been uncovered and presented as the key finding.

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Published

2024-03-31

Issue

Section

Research Articles

How to Cite

[1]
F. H. Hasan, M. S. Mohamad, Y. Yusof, N. A. Mohd Busul Aklan, S. H. Jusoo, and E. . Sangwisut, “Finite cyclic q-group’s automorphisms with qr -generator”, Data Anal. Appl. Math., vol. 5, no. 1, pp. 29–35, Mar. 2024, doi: 10.15282/daam.v5i1.10970.

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