
Title/Qualifications: Doctor, PhD in Pure Mathematics Department/Unit/Section: Mathematics Department Contact Address: P.O.BOX 43844, 00100 Nairobi Email Address:
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Position: Senior Lecturer Area of Specialization: Pure Mathematics Research Interests: Combinatorics Download Full CV

Publications
 J. K. Rimberia, I. N. Kamuti, B. M. Kivunge and F. Kinyua. (2013). Properties of Suborbits and Suborbital graphs of the Symmetric group acting on ordered relement subsets, Journal of Mathematical Theory and Modeling, 3:11, 115120.
 J. K. Rimberia, I. N. Kamuti, B. M. Kivunge and F. Kinyua. (2013). Subdegrees of the Symmetric Group acting acting on ordered relement subsets, International journal of Science, Commerce and Humanities 1: 6, 112118.
 I. N. Kamuti, E .B. Inyangala and J. K. Rimberia. (2012). Action of on and the corresponding Suborbital graphs, International Mathematical Forum, 7: 30, 14831490.
 Kinyanjui J. N., Musundi S. W., Rimberia J., Sitati N. I. and Makila P., 2013,Transitivity of the action of on Unordered and Ordered pairsInternational Journal of Mathematical Archive, Vol.4, No. 9 pg. 7788ISSN 2229 – 5046
 Conference Presentations
 Dr. Jane Rimberia, Ranks and subdegrees of the symmetric group acting on ordered relement subsets, Nairobi, Kenya, 8th 10th June 2011
ONGOING RESEARCH WORK
Orbits of finite subgroups of the Orthogonal Group in three dimensions An orthogonal group of a vector space V, denoted (V), is the group of all orthogonal transformations of V under the binary operation of composition of maps. If , then det and i.e. the inverse of T equals its transpose. The wellknown finite subgroups of the orthogonal group in three dimensions are: the cyclic groups Cn; the dihedral group of degree n, Dn; the alternating group of degree 4, A4; the symmetric group of degree 4, S4 and the alternating group of degree 5, A5. In this research we determine the number of orbits in the action of finite subgroups of the orthogonal group in three dimensions on the set of their poles using table of marks. Group Algorithms and Programming (GAP) software will be used to generate tables of marks and solve the resulting systems of linear equations.
