A group action on derangements
The electronic journal of combinatorics, Tome 21 (2014) no. 1
In this paper we define a cyclic analogue of the MFS-action on derangements, and give a combinatorial interpretation of the expansion of the $n$-th derangement polynomial on the basis $\{q^k(1 + q)^{n-1-2k}, k = 0, 1,... , \lfloor (n-1)/2\rfloor \}$.
DOI :
10.37236/3723
Classification :
05E18, 05A15, 05A05, 26C99
Mots-clés : derangement polynomials, group action
Mots-clés : derangement polynomials, group action
@article{10_37236_3723,
author = {Hua Sun and Yi Wang},
title = {A group action on derangements},
journal = {The electronic journal of combinatorics},
year = {2014},
volume = {21},
number = {1},
doi = {10.37236/3723},
zbl = {1300.05327},
url = {http://geodesic.mathdoc.fr/articles/10.37236/3723/}
}
Hua Sun; Yi Wang. A group action on derangements. The electronic journal of combinatorics, Tome 21 (2014) no. 1. doi: 10.37236/3723
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