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A plane permutation is a pair p = (s, π) where s is an n-cycle and π is an arbitrary permutation. In this paper, we study the properties of p under two instances; when π = s and π = s −1 . We also define the diagonal of the derived plane permutation and establish that it coincides with the diagonal of the underlying plane permutation.

Kazeem Olalekan Aremu, Rabiu Aliyu Abdulmumin, Muhammad Ibrahim, Jamilu Abubakar. (2019) Some Results Associated with the Diagonals of Derived Plane Permutations, Punjab University Journal of Mathematics, Volume 51, Issue 1.
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