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Research Paper | Mathematics | Kenya | Volume 6 Issue 6, June 2017 | Popularity: 6.1 / 10
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
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