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A Group Action on Derangements

Hua Sun, Yi Wang

Source record

Source: Crossref

Published: Mar 24, 2014

DOI: 10.37236/3723

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Source abstract

In this paper we define a cyclic analogue of the MFS-action on derangements, and give a combinatorial interpretation of the expansion of the nn-th derangement polynomial on the basis {qk(1+q)n12k,k=0,1,...,(n1)/2}\{q^k(1 + q)^{n-1-2k}, k = 0, 1,... , \lfloor (n-1)/2\rfloor \}.

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