Transitivity Action of the Cartesian Product of the Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples
dc.contributor.author | Moses, M. K. | |
dc.contributor.author | Nyaga, L. N. | |
dc.contributor.author | Sammy, M. W. | |
dc.date.accessioned | 2025-05-15T10:00:22Z | |
dc.date.available | 2025-05-15T10:00:22Z | |
dc.date.issued | 2021 | |
dc.description | Research Article | |
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. | |
dc.identifier.citation | Moses, M. K., Sammy, M. W., & Nyaga, L. N. (2021). Transitivity Action of the Cartesian Product of the Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples. | |
dc.identifier.uri | https://scholar.google.com/scholar?hl=en&as_sdt=0%2C5&q=Transitivity+Action+of+the+Cartesian+Product+of+the+Alternating+Group+Acting+on+a+Cartesian+Product+of+Ordered+Sets+of+Triples&btnG=#d=gs_cit&t=1747302976567&u=%2Fscholar%3Fq%3Dinfo%3AiChNyRX3cfUJ%3Ascholar.google.com%2F%26output%3Dcite%26scirp%3D0%26hl%3Den | |
dc.identifier.uri | https://repository.chuka.ac.ke/handle/123456789/18053 | |
dc.language.iso | en | |
dc.subject | Orbits | |
dc.subject | Stabilizer | |
dc.subject | Transitivity Action | |
dc.subject | Ordered Sets of Triples | |
dc.subject | Cartesian Product | |
dc.subject | Fixed Point. | |
dc.title | Transitivity Action of the Cartesian Product of the Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples | |
dc.type | Article |