Abstract
We count derangements, involutions and unimodal elements in the wreath product Cr ≀ 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. Copyright © 2010 The Hebrew University Magnes Press.
| Original language | English |
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| Pages (from-to) | 425-448 |
| Journal | Israel Journal of Mathematics |
| Volume | 179 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Dec 2010 |