Geodesic
Cyclic derangements
The electronic journal of combinatorics, Tome 17 (2010)
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

A classic problem in enumerative combinatorics is to count the number of derangements, that is, permutations with no fixed point. Inspired by a recent generalization to facet derangements of the hypercube by Gordon and McMahon, we generalize this problem to enumerating derangements in the wreath product of any finite cyclic group with the symmetric group. We also give $q$- and $(q,t)$-analogs for cyclic derangements, generalizing results of Gessel, Brenti and Chow.
DOI : 10.37236/435
Classification : 05A15, 05A05, 05A30
Mots-clés : number of dreangements, permutations, facet derangement, wreath product, cyclic group, symmetric group 
@article{10_37236_435,
     author = {Sami H. Assaf},
     title = {Cyclic derangements},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/435},
     zbl = {1204.05012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/435/}
}
TY  - JOUR
AU  - Sami H. Assaf
TI  - Cyclic derangements
JO  - The electronic journal of combinatorics
PY  - 2010
VL  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.37236/435/
DO  - 10.37236/435
ID  - 10_37236_435
ER  - 
%0 Journal Article
%A Sami H. Assaf
%T Cyclic derangements
%J The electronic journal of combinatorics
%D 2010
%V 17
%U http://geodesic.mathdoc.fr/articles/10.37236/435/
%R 10.37236/435
%F 10_37236_435
Sami H. Assaf. Cyclic derangements. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/435

Cité par Sources :