Faculty Profiles

Profile

Name: Dr. Geoffrey Muthoka

Qualifications

  • Ph.D Pure Mathematics, Kenyatta University, 2020
  • Msc. Pure Mathematics, Kenyatta University, 2014
  • BED. Science, Kenyatta University, 2011

Research Interests

Algebra

Publications

  1. Geoffrey Muthoka, Ireri Kamuti, Mutie Kavila (2019) Derivation of the cycle index formulas of the Affine Square(q) group action on GF(q) International Journal of algebra, Hikari Vol. 13 No. 7; 307-314
  2. Geoffrey Muthoka, Ireri Kamuti, Mutie Kavila (2019) Derivation of the cycle index formulas of the Affine(p) group as a semi direct product of the cyclic groups C_p and C_(p-1) ℤ𝟏𝟑 International Journal of Scientific Research and Innovative Technology Vol. 6 No. 3; 63-68
  3. Lao Hussein, Benard Kivunge, Patrick Kimani, Geoffrey Muthoka (2018) The Number of Cyclotomic Cosets and Cyclic Codes over  ℤ𝟏𝟑 International Journal of Scientific Research and Innovative Technology  Vol. 5 No. 6; 58-68
  4. Geoffrey Muthoka (2017) Derivation of Cycle Index Formulas for Dihedral Group Acting on Unordered Triples. International Journal of Science and Research (IJSR)  6: 33-35.
  5. Geoffrey Muthoka, Ireri Kamuti, Patrick Kimani, Lao Hussein. (2016) Cycle Index Formulas for Dn Acting on Ordered Pairs. International Journal of Science and Research (IJSR)  5: 1980-1983.
  6. Lao H.,Kivunge B., Muthoka G. and Kimani P.M. (2015).Enumeration of Cyclic Codes Over GF(17).Journal of Scientific Research and Innovative Technology 2:103-111.
  7. Kimani P., Rimberia J., Muthoka G. and Lao H.(2015).Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered 4-element and on Ordered 5-element subsets.Journal of Mathematical Theory and Modeling 5:17-24.
  8. Muthoka G., Kamuti I., Lao H., and Kimani P.M. (2015) Cycle Index Formulas for Dn Acting on Unordered Pairs.Journal of Mathematical Theory and Modeling 5: 16-22.
  9. Kimani P., Rimberia J., Muthoka G. and Lao H. (2014). Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered Pairs and on Ordered Triples. Journal of Mathematical Theory and Modeling 4:95-102.