Browsing by Author "Maraka, Moses K., Musundi, Sammy W., Nyaga, Lewis N."
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Item Primitivity Action of the Cartesian Product of an Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples(London Journal Press, 2022) Maraka, Moses K., Musundi, Sammy W., Nyaga, Lewis N.In 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].