TY - JOUR
T1 - Counting derangements, involutions and unimodal elements in the wreath product Cr {wreath product} Sn
AU - Chow, Chak On
AU - Mansour, Toufik
PY - 2010
Y1 - 2010
N2 - We count derangements, involutions and unimodal elements in the wreath product Cr {wreath product} Sn by the numbers of excedances, fixed points and 2-cycles. Properties of the generating functions, including combinatorial formulas, recurrence relations and real-rootedness are studied. The results obtained specialize to those on the symmetric group Sn and on the hyperoctahedral group Bn when r = 1, 2, respectively.
AB - We count derangements, involutions and unimodal elements in the wreath product Cr {wreath product} Sn by the numbers of excedances, fixed points and 2-cycles. Properties of the generating functions, including combinatorial formulas, recurrence relations and real-rootedness are studied. The results obtained specialize to those on the symmetric group Sn and on the hyperoctahedral group Bn when r = 1, 2, respectively.
UR - http://www.scopus.com/inward/record.url?scp=80054871228&partnerID=8YFLogxK
U2 - 10.1007/s11856-010-0088-8
DO - 10.1007/s11856-010-0088-8
M3 - Article
AN - SCOPUS:80054871228
SN - 0021-2172
VL - 179
SP - 425
EP - 448
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -