- Muthoka G.N; Kamuti I. and Kavila M. (2019); Derivation of the Cycle Index Formula for the Affline Square (q) group acting on G F(q); Int. Journal of Algebra 13, No. 7 Pgs 307-314
- Muthoka G.N; Kamuti I. and Kavila M (2019) Derivation of the cycle index formula of the affine (p) group as a semidirect product of the cyclic groups C_p and C_(P-1),6, No. 3 Pgs 63-68
- Felix Komu and Ireri N. Kamuti (2019); On the cycle Indices of Cyclic and Dihedral Groups acting on X^2; International Journal of Research and Scientific innovation (IJRSI), Vol. VI, Issue XII Pgs 110-112
- Patrick Mwangi Kimani (2019); Rank and Subdegrees of PGL(2,q) acting on cosets of PGL(2,e) for q an even power of e; International Journal of Algebra, Vol. 13, no. 1 pages 29-36.
- Rose W. Gachogu, Ireri N. Kamuti; Moses G. Gichuki (2017); Properties of Suborbits of the Didedral Group D_n acting on ordered subsets; Advances in Pure Mathematics vol. 7 Pgs 375-382.
- R. Gachimu, I. Kamuti, L. Nyaga, J. Rimberia and P. Kamaku (2016); Properties and Invariants Associated with the Action of the Alternating Group on Unordered Subsets; International Journal of Pure and Applied Mathematics, Vol.106 No.1, Pgs 333-346
- Olum F.O., Kmuti I., Kavila M. and Ochieng R.C. (2016); Action of the cyclic group C_n acting on the diagonals of a regular n-gon, Mathematical Theory and Modelling, 6, No. 1 Pgs 115-125.
- R. Gachimu, I. N. Kamuti, L. Nyaga and J. Rimberia (2015); On the Suborbits of the Alternating Group A_n Acting on ordered r-element Subsets; International Electronic Journal of Pure and Applied Mathematics, Vol.9 No.3, Pgs 137-147
- Geoffrey Muthoka, Ireri Kamuti, Hussein Lao and Patrick Mwangi (2015); Cycle Index Formulas for D_n Acting on Unordered Pair; Mathematical Theory and Modelling, Vol.5 No.1, Pgs 16-22
- Leonard Mariera Siro, Damian M. Maingi, Kamuti Ireri N. and James Njoroge (2014); Rank and Subdegrees of the Symmetric Group, S_n, n≤7 Acting on Ordered Triples; International Journal of Algebra, Vol.8 No.9 Pgs 433-437
- Leonard Mariera Siro, Kamuti Ireri N., Damian M. Maingi (2014); On the Actions of the Symmetric Group, S_n, n≤7 on Unordered Quadruples, X^((4)); International Journal of Algebra, Vol.8 No.3 Pgs 115-120
- R. W. Gachogu and I. N. Kamuti (2014); Properties of Suborbital Graphs of the Dihedral Groups, D_n Acting on Unordered r-element Subsets; International Journal of Algebra, Vol.8 No.12 Pgs 557-561
- R. W. Gachogu and I. N. Kamuti (2014); Ranks and Subdegrees of the Dihedral Groups, D_n Acting on Unordered, r-element Subsets; International Journal of Algebra, Vol.8 No.11 Pgs 537-545
- Cyprian Ndirangu, Ireri Kamuti and Moses Ruto Kangogo (2014); Ranks and Subdegrees of the Dihedral Group D_n Acting on Diagonals of a Regular