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Research Article
Computational classification of abelian groups of order 32 using GAP and SageMathKunda Allan Cephas1, Kafunda Tuesday2*, Mukonda Danny3, Lucheta Chikubula1, Mwanza Daniel4, Mwale Chenjelani3, Katakwe Anthony2, Obvious Hamweene3, Bulaya Collins2, Binwell Chileshe1
1Department of Mathematics and Statistics, Kwame Nkrumah University, Kabwe, Zambia * Corresponding Author. Email: [email protected] ARTICLE INFO Journal: International Journal of Advances in Applied Mathematics and Mechanics (IJAAMM) Volume: 13 | Issue: 4 | Pages: 58–69 Issue date: June 2026 License: Open Access (CC BY-NC-ND 3.0) DOI: 10.26541/ijaamm.2026.130406 ARTICLE HISTORY Received: 2 February 2026 Revised: 17 March 2026 Accepted: 19 March 2026 Published online: March 2026 AbstractThis study employs computational group theory tools, GAP and SageMath to classify, verify, and visualize all non-isomorphic abelian groups of order 32. The Fundamental Theorem of Finite Abelian Groups guarantees exactly seven such groups. Through automated enumeration, isomorphism checking, and subgroup lattice generation, the research demonstrates how computational methods can validate classical theoretical results while producing pedagogical resources that make abstract algebraic structures more accessible. KeywordsAbelian Group • GAP • SageMath MSC (2020)47J26 • 47L25 How to CiteCephas, K. A. et al. (2026). Computational classification of abelian groups of order 32 using GAP and SageMath. International Journal of Advances in Applied Mathematics and Mechanics, 13(4), 57–68. https://doi.org/10.26541/ijaamm.2026.130406 © 2026 The Author(s). This article is distributed under the Creative Commons Attribution NonCommercial NoDerivatives License. |
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