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Cycle Index Formulas for Dn Acting on Unordered Pairs

Cycle Index Formulas for Dn Acting on Unordered Pairs

Muthoka, Geoffrey; Kamuti, Ireri; Lao, Hussein; kimani, patrick
URI: http://repository.embuni.ac.ke/handle/embuni/4344
Date: 2015

Abstract:

The cycle index of dihedral group Dn acting on the set X of the vertices of a regular -gon was studied (See [1]). In this paper we study the cycle index formulas of Dn acting on unordered pairs from the set x . 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 .

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