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Automorphisms of finite cyclic 3-groups

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 automorphis...

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Main Authors: Fatin Hanani, Hasan, Mohd Sham, Mohamad, Yuhani, Yusof
Format: Conference or Workshop Item
Language:English
English
Published: American Institute of Physics 2024
Subjects:
Q Science (General)
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/41613/1/Automorphisms%20of%20Finite%20Cyclic%203-Groups_Upload.pdf
http://umpir.ump.edu.my/id/eprint/41613/2/Automorphisms%20of%20Finite%20Cyclic%203-Groups_ABS.pdf
http://umpir.ump.edu.my/id/eprint/41613/
https://doi.org/10.1063/5.0192365
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spelling my.ump.umpir.416132024-06-20T01:47:59Z http://umpir.ump.edu.my/id/eprint/41613/ Automorphisms of finite cyclic 3-groups Fatin Hanani, Hasan Mohd Sham, Mohamad Yuhani, Yusof Q Science (General) QA Mathematics 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. American Institute of Physics 2024-03-07 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/41613/1/Automorphisms%20of%20Finite%20Cyclic%203-Groups_Upload.pdf pdf en http://umpir.ump.edu.my/id/eprint/41613/2/Automorphisms%20of%20Finite%20Cyclic%203-Groups_ABS.pdf 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 https://doi.org/10.1063/5.0192365
institution Universiti Malaysia Pahang Al-Sultan Abdullah
building UMPSA Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang Al-Sultan Abdullah
content_source UMPSA Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
English
topic Q Science (General)
QA Mathematics
spellingShingle Q Science (General)
QA Mathematics
Fatin Hanani, Hasan
Mohd Sham, Mohamad
Yuhani, Yusof
Automorphisms of finite cyclic 3-groups
description 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.
format Conference or Workshop Item
author Fatin Hanani, Hasan
Mohd Sham, Mohamad
Yuhani, Yusof
author_facet Fatin Hanani, Hasan
Mohd Sham, Mohamad
Yuhani, Yusof
author_sort Fatin Hanani, Hasan
title Automorphisms of finite cyclic 3-groups
title_short Automorphisms of finite cyclic 3-groups
title_full Automorphisms of finite cyclic 3-groups
title_fullStr Automorphisms of finite cyclic 3-groups
title_full_unstemmed Automorphisms of finite cyclic 3-groups
title_sort automorphisms of finite cyclic 3-groups
publisher American Institute of Physics
publishDate 2024
url http://umpir.ump.edu.my/id/eprint/41613/1/Automorphisms%20of%20Finite%20Cyclic%203-Groups_Upload.pdf
http://umpir.ump.edu.my/id/eprint/41613/2/Automorphisms%20of%20Finite%20Cyclic%203-Groups_ABS.pdf
http://umpir.ump.edu.my/id/eprint/41613/
https://doi.org/10.1063/5.0192365
_version_ 1822924406474670080
score 13.244413

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