Automorphisms of finite cyclic group for generator of 2

Authors

  • Fatin Hanani Hasan Tunku Abdul Rahman University of Management and Technology, Pahang Branch, Bandar Indera Mahkota, 25200 Kuantan, Pahang, Malaysia , Tunku Abdul Rahman University of Management and Technology image/svg+xml
  • Mohd. Sham Mohamad Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, Lebuh Persiaran Tun Khalil Yaakob, 26300 Kuantan, Pahang, Malaysia , Universiti Malaysia Pahang Al-Sultan Abdullah image/svg+xml
  • Yuhani Yusof Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, Lebuh Persiaran Tun Khalil Yaakob, 26300 Kuantan, Pahang, Malaysia , Universiti Malaysia Pahang Al-Sultan Abdullah image/svg+xml
  • Siti Hasanah Jusoo Centre for Mathematical Sciences, Universiti Malaysia Pahang Al-Sultan Abdullah, Lebuh Persiaran Tun Khalil Yaakob, 26300 Kuantan, Pahang, Malaysia , Universiti Malaysia Pahang Al-Sultan Abdullah image/svg+xml
  • Mohammed Khalid Shahoodh Ministry of Education, General Directorate of Education in Ramadi, 31001 Ramadi, Iraq
  • Ekkasit Sangwisut Department of Mathematics and Statistics, Faculty of Science and Digital Innovation, Thaksin University, 93110 Phattalung, Thailand , Thaksin University image/svg+xml

DOI:

https://doi.org/10.15282/daam.v7i2.15197

Keywords:

Automorphism, Finite Cyclic Group, Generator, Compatible action, Number theory

Abstract

Generators are necessary to justify the creation of the automorphisms for finite cyclic q-group, where q is an odd prime. This study identifies generators of previously unclassified automorphism orders for 2-power cyclic groups. This research begins with an overview of cyclic groups and automorphisms, including the properties, to establish a solid foundation. By analysing the automorphisms, the generators are identified according to their specific order within the 2-power group and presented as the primary finding.

References

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Published

2026-09-30

Issue

Vol. 7 No. 2: September 2026

Section

Research Articles

License

Copyright (c) 2026 The Author(s)

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

[1]
F. H. Hasan, M. S. Mohamad, Y. Yusof, S. H. Jusoo, M. K. Shahoodh, and E. Sangwisut, “Automorphisms of finite cyclic group for generator of 2”, Data Anal. Appl. Math., vol. 7, no. 2, p. In-Press, Sep. 2026, doi: 10.15282/daam.v7i2.15197.