Maraka, M. K.Musundi, S. W.Nyaga, L. N.2025-03-252025-03-252022Maraka, 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.journalspress.comhttps://repository.chuka.ac.ke/handle/123456789/17072Research ArticleIn 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]. Mathematics Subject Classification: 20B05; 20B15; 20B20enTransitivity ActionPrimitivity ActionOrdered Sets of TriplesCartesian Product and Alternating Group.Article