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

  Moses K. Maraka, Sammy W. Musundi, Lewis N. Nyaga (2022)

  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 ...
• Effect of Secondary School Principals’ Transfer on Teachers’ Perception of School Climate in Narok East Sub County, Kenya 

  Venrander Mmboga, Maithya Paul,Tanui Edward (2025)

  Principals’ transfers have received mixed reactions from teachers, parents and other stakeholders in various schools. Previous studies have noted mixed results in relation to these transfers because they have always exhibited ...
• Ranks and Subdegrees of the Action of the Product of Three Alternating Groups on the Cartesian Product of Three Sets of Ordered 𝜸 −Tuples 

  Moses K. Maraka, John W. Matuya, Edward M. Njuguna, Lewis N. Nyaga (2025-04)

  In this paper, the ranks and subdegrees of the action of the product of three alternating groups, 𝐴𝑛1 × 𝐴𝑛2 × 𝐴𝑛3 , acting on the Cartesian product of three sets of ordered 𝛾 –tuples, 𝑃1 [𝛾] × 𝑃2 [𝛾] × ...
• Ranks and Subdegrees of the Action of the Product of Four Alternating Groups on the Cartesian Product of Four Sets of Ordered Pairs 

  Moses Khakame Maraka (2025-06)

  The rank and subdegrees of the action of 𝐴𝑛 × 𝐴𝑛 × 𝐴𝑛 × 𝐴𝑛 acting on 𝑊[2] × 𝑋 [2] × 𝑌 [2] × 𝑍 [2] are determined in this paper. Using combinatorics and mathematical induction, the rank of 𝐴𝑛 × 𝐴𝑛 × ...
• The Imprimitivity Action of the Product of Finite Alternating Groups on Cartesian Product of Ordered 𝜸 −Tuples of Finite Sets 

  Moses K. Maraka, John W. Matuya , Edward M. Njuguna, Lewis N. Nyaga (2025-09)

  A group 𝐺 acts primitively on a set 𝑃 if the only 𝐺 -invariant partitions are trivial. This paper explores the primitivity of the product action of finite alternating groups 𝐴𝑛1 × 𝐴𝑛2 × … × 𝐴𝑛𝑚 on the ...

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