Finite cyclic group of p-power order and its compatibility conditions

Hasan, Fatin Hanani and Mohamad, Mohd Sham and Yusof, Yuhani and Busul Aklan, Nor Amirah (2023) Finite cyclic group of p-power order and its compatibility conditions. Data analytics and applied mathematics journal, 4 (2). pp. 1-7. E-ISSN 2773-4854

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Abstract

Finite cyclic groups of p-power order, where p represents a prime number, have long been an interesting field of study in abstract algebra. This paper investigates the compatibility conditions that control their existence and behaviour. An overview of cyclic groups, automorphisms and their properties is given as groundwork for this research. By analysing the interaction between the group's order and its generator, we discovered the compatibility conditions and presented them as the primary finding in this paper.

Item Type:	Article (Journal)
Uncontrolled Keywords:	Cyclic group; Automorphism group; Compatible action; Nonabelian tensor product; Number theory
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences Kulliyyah of Science
Depositing User:	Dr Nor Amirah Mohd Busul Aklan
Date Deposited:	24 Jul 2024 16:51
Last Modified:	24 Jul 2024 16:51
URI:	http://irep.iium.edu.my/id/eprint/113358

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