Cycle Index Formulas for Dn Acting on Unordered Pairs
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Date
2015
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Journal ISSN
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Publisher
UoEm
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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