Transitivity of the Product Action of Finite Alternating Groups on Cartesian Product of Finite Ordered Sets of Y-tuples

@article{1706002,
      author = {Moses K. Maraka, John W. Matuya, Edward M. Njuguna, Lewis N. Nyaga},
      title = {Transitivity of the Product Action of Finite Alternating Groups on Cartesian Product of Finite Ordered Sets of Y-tuples},
      journal = {Iconic Research And Engineering Journals},
      year = {2024},
      volume = {8},
      number = {1},
      pages = {612-619},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1706002.pdf},
      abstract = {In this paper, we determine the transitivity of the product action of finite alternating groups on the Cartesian product of finite ordered sets of  ?-tuples. Transitivity action has been determined using the Orbit-stabilizer theorem, by showing that the length of the orbit (p_1,p_2,p_3,?,p_(m-1),p_m ) in  A_(n_1 )?A_(n_2 )ׅ?A_(n_(m-1) )?A_(n_m ),  (n-??2)  acting on  ?P_1?^[?] ??P_2?^[?] ׅ??P_(m-1)?^[?] ??P_m?^[?]   is equivalent to the cardinality of  ?P_1?^[?] ??P_2?^[?] ׅ??P_(m-1)?^[?] ??P_m?^[?]  to imply transitivity.},
      keywords = {Orbits; stabilizer; transitive group; ordered sets of ?-tuples; cartesian product; fixed point.},
      month = {July},
  }