Primitivity Action of the Cartesian Product of an Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples

Abstract

In this paper, we investigate the primitivity action properties of the cartesian product of an alternating group 𝐴 acting on a cartesian product of ordered sets of triples using the definition primitivity 𝑛 (𝑛≥5) and blocks. When 𝑛≥5, the cartesian product of the alternating group, 𝐴 , acts 𝑛 × 𝐴 𝑛 × 𝐴 𝑛 imprimitively on a cartesian product of ordered sets of triples, 𝑃 . [3] × 𝑆 [3] × 𝑉 [3] Mathematics Subject Classification: 20B05; 20B15; 20B20