Maraka, Moses K., Musundi, Sammy W., Nyaga, Lewis N.2025-02-242025-02-242022Maraka, M. K., Musundi, S. W., & Nyaga, L. N. (2022). Primitivity Action of the Cartesian Product of an Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples.Print ISSN: 2631-8490 Online ISSN: 2631-8504https://repository.chuka.ac.ke/handle/123456789/16523Primitivity Action of the Cartesian Product of an Alternating Group Acting on a Cartesian Product of Ordered Sets of TriplesIn this paper, we investigate the primitivity action properties of the cartesian product of an alternating group 𝐴 (𝑛≥5) 𝑛 acting on a cartesian product of ordered sets of triples using the definition primitivity and blocks. When 𝑛≥5, the cartesian product of the alternating group, 𝐴 × 𝐴 × 𝐴 𝑛 𝑛 𝑛 , acts imprimitively on a cartesian product of ordered sets of triples, [3] [3] [3].entransitivity actionprimitivity actionordered sets of triplescartesian product and alternating group.Article