Counting derangements, involutions and unimodal elements in the wreath product Cr {wreath product} Sn

Chak On Chow, Toufik Mansour

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)425-448
Number of pages24
JournalIsrael Journal of Mathematics
Volume179
Issue number1
DOIs
StatePublished - 2010

ASJC Scopus subject areas

  • Mathematics (all)

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