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

Chak On CHOW, Toufik Mansour MANSOUR

Research output: Contribution to journalArticles

7 Citations (Scopus)

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 languageEnglish
Pages (from-to)425-448
JournalIsrael Journal of Mathematics
Volume179
Issue number1
DOIs
Publication statusPublished - Dec 2010

Citation

Chow, C. O., & Mansour, T. (2010). Counting derangements, involutions and unimodal elements in the wreath product Cr ≀ Sn. Israel Journal of Mathematics, 179(1), 425-448.

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