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

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dc.contributor.author Moses K. Maraka, Sammy W. Musundi, Lewis N. Nyaga
dc.date.accessioned 2025-12-03T10:32:16Z
dc.date.available 2025-12-03T10:32:16Z
dc.date.issued 2022
dc.identifier.uri http://hdl.handle.net/123456789/18470
dc.description.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 (𝑛โ‰ฅ5) and blocks. When 𝑛โ‰ฅ5, the cartesian product of the alternating group, 𝐴 , acts 𝑛 ร— 𝐴 𝑛 ร— 𝐴 𝑛 imprimitively on a cartesian product of ordered sets of triples, 𝑃 . [3] ร— 𝑆 [3] ร— 𝑉 [3] Mathematics Subject Classification: 20B05; 20B15; 20B20 en_US
dc.language.iso en en_US
dc.subject transitivity action, primitivity action, ordered sets of triples, cartesian product and alternating group. en_US
dc.title Primitivity Action of the Cartesian Product of an Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples en_US
dc.type Article en_US
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