Derangements and Euler's difference table for $C_\ell\wr S_n$

Simple item page
dc.creatorFaliharimalala, Hilarion L. M.
dc.creatorZeng, Jiang
dc.date2008-10-15
dc.date.accessioned2026-07-07T10:10:25Z
dc.date.available2026-07-07T10:10:25Z
dc.descriptionEuler's difference table associated to the sequence $\{n!\}$ leads naturally to the counting formula for the derangements. In this paper we study Euler's difference table associated to the sequence $\{\ell^n n!\}$ and the generalized derangement problem. For the coefficients appearing in the later table we will give the combinatorial interpretations in terms of two kinds of $k$-successions of the group $C_\ell\wr S_n$. In particular for $\ell=1$ we recover the known results for the symmetric groups while for $\ell=2$ we obtain the corresponding results for the hyperoctahedral groups.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0810.2727
dc.identifierhttp://arxiv.org/abs/0810.2727
dc.identifierThe Electronic Journal of Combinatorics 15 (2008); #R65
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171595
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subjectDerangements, Euler's difference table, wreath product
dc.titleDerangements and Euler's difference table for $C_\ell\wr S_n$
dc.typetext

Files

Collections

arXiv