International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064


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


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

Geoffrey Muthoka


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), https://www.ijsr.net/get_abstract.php?paper_id=ART20173671, Volume 6 Issue 6, June 2017, 32 - 35

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