We present in this work results on some distributions of permutation statistics of random elements of the wreath product Gr,n = Cr Sn. We consider the distribution of the descent number, the flag major index, the excedance, and the number of fixed points, over the whole group Gr,n or over the subclasses of derangements and involutions. We compute the mean, variance and moment generating function, and establish the asymptotic distributions of these statistics.
|Article number||Article #2|
|Number of pages||14|
|Journal||Online Analytic Journal of Combinatorics|
|State||Published - 25 Dec 2012|