International Research Journal of Innovations in Engineering and Technology - IRJIET International Open Access, Monthly, Peer Reviewed, Reputed Journal ISSN (online): 2581-3048

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DOI Prefix: 10.47001/IRJIET

Generating Symmetric Group Representations for Network Dynamics and Groupoid Formalism

D. SamailaDepartment of Mathematics, Adamawa State University, Mubi, NigeriaM. P. AgahScience Education Department, Adamawa State University, Mubi, Nigeria

Vol 8 No 9 (2024): Volume 8, Issue 9, September 2024 | Pages: 8-26

International Research Journal of Innovations in Engineering and Technology

OPEN ACCESS | Research Article | Published Date: 08-09-2024

doi Logo doi.org/10.47001/IRJIET/2024.809002

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Abstract

Understanding the concept of group theory and to apply it in other field of sciences has been a problem among undergraduate students. Although there are some attempt by Dubinsky et al, [1], where some finite groups were discussed among students, the paper was limited to theoretical aspect of the topic. This research is therefore designed to explore clearly the procedure for constructing finite groups for better understanding of the subject area in the given domain. The research is channeled towards the use of group theory in Network Dynamics, which serves as concrete application of finite groups to the students. Some minor open problems with regards to algebraic graph theory was discussed which lead to network dynamics and groupoid formalism.

Keywords

Finite groups, Subgroups, Transformations, Representations, Homomorphism, Isomorphism, Network Dynamics


Citation of this Article

D. Samaila, & M. P. Agah. (2024). Generating Symmetric Group Representations for Network Dynamics and Groupoid Formalism. International Research Journal of Innovations in Engineering and Technology - IRJIET, 8(9), 8-26. Article DOI https://doi.org/10.47001/IRJIET/2024.809002

Licence Copyright (c) 2026 International Research Journal of Innovations in Engineering and Technology creative common licence This work is licensed under Creative common Attribution Non Commercial 4.0 Internation Licence
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