Automorphisms of finite cyclic 3-groups

Fatin Hanani, Hasan and Mohd Sham, Mohamad and Yuhani, Yusof (2024) Automorphisms of finite cyclic 3-groups. In: AIP Conference Proceedings. 3rd International Conference on Applied &Industrial Mathematics and Statistics 2022 (ICoAIMS 2022) , 24th - 26th August 2022 , Virtual. pp. 1-6., 2895 (1). ISSN 1551-761-6 ISBN 978-0-7354-4820-9

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Abstract

A distinct compatible pair of actions will result in distinct nonabelian tensor products. This proves that the number of compatible pairs of action plays a huge role as the greatest variety nonabelian tensor product relies on it. However, the actions of finite cyclic group are defined by automorphisms, thus the number of automorphisms needs to be known before obtaining the number of actions that are compatible with one another. This paper focuses on determining the automorphism finite cyclic 3-groups. The general presentation of the automorphism of such groups is obtained with the help of Groups, Algorithm, and Programming (GAP) Software.

Item Type:	Conference or Workshop Item (Lecture)
Additional Information:	Indexed by Scopus
Uncontrolled Keywords:	Automorphisms; Cyclic group; Tensor product.
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics
Faculty/Division:	Center for Mathematical Science
Depositing User:	Mr Muhamad Firdaus Janih@Jaini
Date Deposited:	20 Jun 2024 01:09
Last Modified:	20 Jun 2024 01:47
URI:	http://umpir.ump.edu.my/id/eprint/41613
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