International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Since Year 2012 | Open Access | Double Blind Reviewed

ISSN: 2319-7064




Downloads: 138

Research Paper | Mathematics | Kenya | Volume 6 Issue 6, June 2017


Derivation of Cycle Index Formulas for Dihedral Group Acting on Unordered Triples

Geoffrey Muthoka [2]


Abstract: The cycle index of dihedral group D_n acting on the set X of the vertices of a regular n-gon was studied by Harary and Palmer in 1973 (See [1]). In this paper we derive the cycle index formulas of the dihedral group (D_n) acting on unordered triples from the set X={1, 2, , n}. In each case the actions of the cyclic part and the reflection part are studied separately for both an even value of n and an odd value of n.


Keywords: Cycle index, Cycle type, Monomial


Edition: Volume 6 Issue 6, June 2017,


Pages: 32 - 35


How to Cite this Article?

Geoffrey Muthoka, "Derivation of Cycle Index Formulas for Dihedral Group Acting on Unordered Triples", International Journal of Science and Research (IJSR), Volume 6 Issue 6, June 2017, pp. 32-35, https://www.ijsr.net/get_abstract.php?paper_id=ART20173671

How to Share this Article?






Similar Articles with Keyword 'Cycle'

Downloads: 0

Masters Thesis, Mathematics, Indonesia, Volume 10 Issue 10, October 2021

Pages: 1147 - 1150

Application of Project - Based Mathematics Student Worksheets to Improve Students' Problem - Solving Ability

Putu Diah Prema Vahini | I Gusti Putu Sudiarta [4] | Sariyasa [2]

Share this Article

Downloads: 0

Analysis Study Research Paper, Mathematics, India, Volume 11 Issue 11, November 2022

Pages: 1117 - 1123

A Deterministic Inventory Model for Non-Instantaneous Deteriorating Items with Allowed Backorders and Quadratic Time Varying Holding Cost

Teekam Chand Meena | Anil Kumar Sharma [3]

Share this Article


Top