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

dc.contributor.author	Maraka K. Moses Musundi W. Sammy, Lewis N. Nyaga
dc.date.accessioned	2025-12-09T09:44:19Z
dc.date.available	2025-12-09T09:44:19Z
dc.date.issued	2021-12
dc.identifier.issn	2456-477X
dc.identifier.uri	http://hdl.handle.net/123456789/18474
dc.description.abstract	In this paper, we investigate some transitivity action properties of the cartesian product of the alternating group 𝐴𝑛 (𝑛 ≥ 5) acting on a cartesian product of ordered sets of triples using the Orbit-Stabilizer Theorem by showing that the length of the orbit (𝑝, 𝑠, 𝑣) in 𝐴𝑛 × 𝐴𝑛 × 𝐴𝑛, (𝑛 ≥ 5) acting on 𝑃 [3] × 𝑆 [3] × 𝑉 [3] is equivalent to the cardinality of 𝑃 [3] × 𝑆 [3] × 𝑉 [3] to imply transitivity.	en_US
dc.language.iso	en	en_US
dc.subject	Orbits; stabilizer; transitivity action; ordered sets of triples; cartesian product; fixed point.	en_US
dc.title	Transitivity Action of the Cartesian Product of the Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples	en_US
dc.type	Article	en_US